







Solving an inequality 
20201018 

nunya pose la question : 3(4 + 2n) > 2n  16 Penny Nom lui répond. 





The area of a patio 
20190623 

Miguel pose la question : Stephanie has 60 feet of metal fencing material to only fence 3
sides of a rectangular patio. A tall metal wall serves as the fourth side
of the rectangle. write a function for the area the garden (A) in terms
of width in feet (x) What measures of the width would give an area of
at least 150 feet? Penny Nom lui répond. 





An inequality with no solution 
20180920 

Alena pose la question : I'm trying to help with a homework problem. Can you please help me?
2kx  3k < 2x + 4 +3kx
We are solving for "k" with no solution. Penny Nom lui répond. 





An inequality 
20150419 

mr. pose la question : Simplify the inequality √x>x and represent on a number line Penny Nom lui répond. 





An inequality 
20140327 

James pose la question : a step on a stairway is at least 8 inches high. write and solve an inequality to represent the maximum number of steps between floors that are 10 feet apart Penny Nom lui répond. 





An inequality 
20140125 

LANELL pose la question : this is a problem to solve: 1/3 + 2/7 >=x/21  part of the answer is (oo)
not exactly that similarit is on a calculator as a symbol sure you know what it is I am talking about the x will be a number Penny Nom lui répond. 





An inequality 
20140117 

Rosie pose la question : 4x/x2<3
four x divided by x2 is less than or equal to 3 Penny Nom lui répond. 





When would one flip the inequality sign? 
20140109 

Natasha pose la question : Would one flip the inequality symbol in this equation: (explain why)
(9a)/(9) > 81
And please explain in what circumstances one would flip the inequality sign
THANKS! Penny Nom lui répond. 





Changing the sign of an inequality 
20120919 

Bryauna pose la question : Why do you change the signs in inequalities?! Penny Nom lui répond. 





A cubic inequality 
20120325 

Victoria pose la question : The flight path of a bumblebee above the ground can be modelled by the function f(x)= 2x^3 17x^2+ 11x + 130. Where x is the time in seconds and f(x) represents the height in inches above the ground. The entrance to the bee's hive is located 100 inches above the ground. Determine when the bumblebee's height is greater than 100 inches. The bee's height was monitored from 0 to 25 seconds inclusive. (over the domain 0 Penny Nom lui répond. 





An inequality 
20101213 

jimmy pose la question : 1.7b1.1 <2.3 Stephen La Rocque lui répond. 





Graphing a linear inequality 
20100526 

Valeie pose la question : When graphing a linear inequality, how do you know if the inequality represents the area above the line. Penny Nom lui répond. 





Which values of x satisfy (x2) / (x+4) <7 
20100523 

Rocco pose la question : Which values of x satisfy (x2) / (x+4) <7 Harley Weston lui répond. 





Frank makes picture frames 
20100220 

Carol pose la question : Frank makes picture frames his revenue from sales is R=$13.60x for frames sold. The cost making frames is C=$5.80x+$120 for frames made. What is the minum number of frames Frank must make and sell in order for his revenue to be greater than his costs. Penny Nom and Melanie Tyrer lui répond. 





1/a + 1/b + 1/c < 1 
20100201 

Mrityun pose la question : suppose a,b and c are natural numbers such that 1/a + 1/b + 1/c < 1. Prove that
1/a + 1/b + 1/c < = 41/42. Penny Nom and Claude Tardif lui répond. 





The triangle inequality 
20100111 

Nazrul pose la question : If A and B are any two vectors, then how can I prove that magnitude of (A+B)<=magnitude of A+magnitude of B. Please show me the process in details. Thank you. Robert Dawson lui répond. 





e^pi and pi^e 
20091022 

Natalie pose la question : Question from natalie, a student:
Without using your calculator, prove which is bigger: e^pi or pi^e
we talked about ad absurdum in class, so I'm assuming that is how I approach this question, but since neither of them have a variable( like the examples we actually solved in class), I'm not quite sure how to solve it.... Harley Weston lui répond. 





2(x4)>4+2x 
20090827 

jorna pose la question : 2(x4)>4+2x Penny Nom lui répond. 





Things equal to the same thing 
20090729 

nazrul pose la question : If p^2pa+q=0 and m^2ma+n=0 , can we write p^2pa+q= m^2ma+n? Please explain. Robert Dawson lui répond. 





Inequalities Proof 
20090724 

ABOU pose la question : good morning.......a b c are real positive no zero......proof that
sq root(2a/(a+b))+sq root(2b/(b+c))+sq root(2c/(c+a))inferior or equal 3
thank you Janice Cotcher lui répond. 





Properties of Inequality 
20090605 

Nazrul pose la question : We know that if a>b then (1/a)<(1/b)
But why 5> 2 implies (1/5)>(1/2) .
Thank you in advance for your help. Robert J. Dawson lui répond. 





1/(x+1) <1 
20090516 

Nazrul pose la question : What is the solution of absolute value of (1/(x+1))<1? Please explain. Stephen La Rocque lui répond. 





An inequality with logs 
20090306 

Indrajit pose la question : (x/10)^(logx  2)<100..........how to solve this one?? Stephen La Rocque lui répond. 





Solving an equality 
20090210 

Deborah pose la question : 2(v+10)<18 Penny Nom lui répond. 





Solving an inequality 
20090102 

jarred pose la question : 3x+8>2 Penny Nom lui répond. 





5x < 25+10 
20080425 

Courtney pose la question : What is the answer to 5x<25+10 Stephen La Rocque lui répond. 





The isoperimetric inequality 
20080421 

Dutch pose la question : I'm searching for the proof that the sphere has the smallest volume of any figure and maximizes the volume of any figure. Chris Fisher lui répond. 





Two consecutive odd numbers 
20080401 

prinsilla pose la question : of all pairs of consecutive odd integers whose sum is greater than 75. find the pair whose sum is least? Stephen La Rocque lui répond. 





A fractional inequality 
20080220 

ed pose la question : solve the inequality
(x+3)^2 (2x)
___________ < 0
(x+4) (x^2  4)
Penny Nom lui répond. 





Multiplying an inequality by a negative number 
20071127 

Lisa pose la question : Why is it that you have to switch the sign of the inequality when you divide or multiply by an negative number to solve for a variable? Penny Nom and Walter Whiteley lui répond. 





Equality of sets 
20070723 

Mac pose la question : Hi, I learnt set theory recently. My teacher and few of the weblink actually give different
definition for basic set. Can you please solve this ?
My teacher says, {1,2,3} and {1,1,2,3} is also set.
But in this link http://library.thinkquest.org/C0126820/setsubset.html it says,
"A set has no duplicate elements. An element is either a member of a set or not. It cannot be in the set twice."
and "{1, 2, 3} is the same as the set {1, 3, 2, 3, 1}"
My question is,
1. Whether duplicates allowed in the set or not ?
2. Even if the duplicates are allowed, {1,2,3} and {1,1,2,2,3,3} are same or not ? Penny Nom and Harley Weston lui répond. 





An inequality 
20070616 

jerry pose la question : Two real numbers a and b satisfy the equation ab=1.
i) Prove that a^6 + 4b^6 >4
ii) Find out whether the inequality a^6 + 4b^6 >4 holds for all a and b such that ab = 1 Stephen La Rocque lui répond. 





Altitudes of scalene triangles 
20070517 

Chris pose la question : Two of the altitudes of a scalene triangle ABC have length 4 and 12.
If the length of the third altitude is also an integer, what is the biggest
that it can be? J. Chris Fisher lui répond. 





3x > 12 
20070111 

Jen pose la question : In the following inequality, would one flip the inequality symbol?
3x > 12 Stephen La Rocque lui répond. 





x + 2y < 6 
20070106 

Mike pose la question : I understand solving by graphing, but i am having trouble with the graphing of in equalities. i solved : x + 2y<6 Penny Nom lui répond. 





The proof of inequality by mathematical induction 
20061207 

Carol pose la question : S(n) = 2^n > 10n+7 and n>=10 Stephen La Rocque lui répond. 





Linear inequalities 
20061201 

Susan pose la question : how would I graph a linear inequality of y>3. Stephen La Rocque lui répond. 





2x > 6 and x  4 < 3 
20061127 

Alyssa pose la question : 2x > 6 and x  4 < 3 , i need to know how to solve it and how to graph it. Stephen La Rocque lui répond. 





Inequalities 
20061003 

Maleeha pose la question : a)Use algebra to find the set of values of 'x' for which x(x5)>36.
b)Using your answer to part a, find the set of values 'y' for which y^{2}(y^{2}5)>36 Penny Nom lui répond. 





Graphing a linear inequality 
20050826 

Gina pose la question : When graphing a linear inequality, how do you know if the inequality represents the area above the line? Penny Nom lui répond. 





Which number is greater? 
20050818 

Dante pose la question : Which number is greater: 888....88 X 333...33 or 444.......44 x 666........67 (each of the numbers has 1989 digits)? Claude Tardif lui répond. 





Which is larger, 31^11 or 17^14? 
20050529 

Linda pose la question : Which number is greater 31^{11} or 17^{14} (without using
calculator). Chris Fisher and Paul Betts lui répond. 





Graphing an inequality 
20050502 

Janice pose la question : I need to know how to graph inequalities. I need to know just abot everything. From graphing an equation to shading. Leeanne Boehm lui répond. 





An inequality 
20050331 

Ambross pose la question : demostrate the following inequality:
2.Sqrt(K+1)2.Sqrt(k)<1/Sqrst(K)<2.Sqrt(K)2.Sqrt(k1)
Penny Nom lui répond. 





Graphing inequalities 
20050215 

Melanie pose la question : Solve and Graph the following variable inequalities:
y<2x+4
y>2x+6
3x+4y<24
4x6y>24 Penny lui répond. 





An ineqlality with absolute values 
20040705 

Uneeza pose la question : abs(x^{2}  4x) > 3 Claude Tardif lui répond. 





Solving inequalities 
20040503 

Joe pose la question : Let x be a real number find and graph the solution to the following sentances:
2x10+9
4X+2<15
5X+3>(x1) Peny Nom lui répond. 





Inequalities 
20040108 

Michael pose la question : How do you use inequalities in your job and in your everyday life? Penny Nom lui répond. 





An inequality whose solution is all points 
20031125 

Katie pose la question :
Hi my name is Katie and I am in the 9th grade and I would like help on this question. Is it possible to have a system of inequalities whose solution is all points?
1.I need to know why (explanation)
2.how to do it(example)
Penny Nom lui répond. 





Equal ratios 
20031107 

A student pose la question : In the ratio 3:8=17__, can__be a whole number? Penny Nom lui répond. 





Cathy's Clothing 
20030715 

Cathy pose la question : I am supposed to write a practical and useful word problem that would use the following algebriac inequality to solve it: 12x + 25 > 15x + 10. State the quanity that represents x and solve the inequality. Penny Nom lui répond. 





A fractional inequality 
20030408 

Jessica pose la question : Solve for x. Write in interval notation.
[(x^{2})9]/[x5] >= 0 Penny Nom lui répond. 





y < 2x + 1 
20030301 

Erika pose la question : how can I solve and graph y<2x+1 and which side in the graph should i shade after i finish solving my inequality? Penny Nom lui répond. 





Three algebra problems 
20021013 

Veronica pose la question : Solve the following inequality: 5(xsqured4)/(xto the 5th(2x5)to the 3rd) < or equal 0 Solve the following equations for all roots square root of x+2=1+square root of 2x+3 what's ZERO FACTOR PROPERTY??? The hypotenuse of an isosceles right triangle is 7cm. long. Determine the lenghts of the other sides. Leeanne Boehm lui répond. 





When does an inequality represent the area above the line? 
20020825 

Tamara pose la question : How do you determine that an inequality represents the area above the line and when do you include the line in the solution? Penny Nom lui répond. 





Some inequalities 
20020725 

A student pose la question :
1)5 <= 3X+1 < 1 2)4X2 < 6 OR X+2 > 9 Penny Nom lui répond. 





Inequalities 
20011113 

Pat pose la question : When writing the solution to an inequality, why is the solution written in set notation? {x/ } Penny Nom lui répond. 





Why do you flip the inequality sign? 
20011026 

Sean pose la question : I have a question about an inequality problem. Here it is: Solve and graph 5  3x => 17. (=> is greater than or equal). Please tell me why you flip the inequality sign when divinding by a negative number. Penny Nom lui répond. 





The triangle inequality 
20010927 

A student pose la question :
__ __ __
Prove that AX + XB = AB for any X on AB.
Chris fisher lui répond. 





A linear inequality 
20010917 

Eric pose la question : How can I solve x + y + x  y< =6? Penny Nom lui répond. 





An inequality involving triangles 
20010612 

Sandra pose la question : The triangle inequality guarantees that the sum of the lengths of two sides of a triangle is greater than the length of the third. As a consequence, if x and y are legs of a right triangle, with x less than or equal to y, and z the hypotenuse, then x + y is greater than z, so x is greater than z  y. Under what circumstances will x is greater than 2(z  y) be true? Chris Fisher and Penny Nom lui répond. 





Two inequalities 
20010212 

A student pose la question : If 3 Leeanne Boehm lui répond. 





Which fraction is greater? 
20010201 

Carol pose la question : Hello My name is Carol I am a student teacher! I am asked to aproach these students on their problems. I am unsure of how to explain to them that these are wrong. Can you help? Thanks. Iris claims that if we have two positive rational numbers, the one with the greatest numerator is the greatest. Shirly claim that if we have two positive rational numbers, the one with the greatest denominator is the least. Thanks! Claude Tardif lui répond. 





A problem with distance 
20010116 

A student pose la question : For what values of a is the distance between P(a, 3) and Q(5, 2a) greater than the square root of 26. Penny Nom lui répond. 





Inequalities 
20000902 

Jennifer pose la question : I would like some help with equations and inequalities. My first inequality is 3p6>21 and 3q+11+8q>99. Paul Betts lui répond. 





Graphing an inequality 
20000802 

Lori pose la question : How do I find x and y and graph this problem 3x + y < 5 Penny Nom lui répond. 





Why are equivalent fractions equal? 
20000405 

An elementary student pose la question : What is the mathematical reason equivalent fractions are equal? Penny Nom lui répond. 





62x<4 
19991020 

Tchilco pose la question : Solve 62x<4 Harley Weston lui répond. 





Standard Deviation 
19990711 

Anthony Fama pose la question : I have seen several answers to this question: If one standard deviation represents 68% of the population, what does two, three, four and five sigma [std deviation] represent? As stated, I have seen several different answers and thus, the impetus for my question. Harley Weston lui répond. 





Reversing the direction of an inequality. 
19990306 

Mallory White pose la question : If the Problem was 4a plus 5 is less than or equal to 14, why would you change the sign to greater than or equal to? Jack LeSage and Harley Weston lui répond. 





Graphing Inequalities of Conic Sections 
19970324 

James Sheldon pose la question : I'm trying to graph Systems of Conic Sections with inequalities, but I'm running into problems on which area to shade: x^2+y^2 is greater than or equal to 16 xy > 4 So I graph these two equations, and then my teacher said to substitute a point into it but I'm still not sure how to do it... Penny Nom lui répond. 





How do you graph these inequalities? 
19960517 

Robert pose la question : How do you graph the inequalities 5+gg, and g+h>6 on one coordinate plane? Harley Weston and Maxine Stinka lui répond. 

