







A system of inequalities 
20200201 

Isaac pose la question : Austin has x nickels and y dimes, having a maximum of 15 coins worth a minimum of $1 combined. No more than 4 of the coins are nickels and no less than 11 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution. 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. 





A pair of linear inequalities 
20170808 

Hempstone pose la question : Solve the inequalities 3x5<2x+5>4x+9 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. 





A region described by inequalities in cylindrical coordinates 
20150221 

Rahul pose la question : I am not able to visualize a solid given by inequalities as under (in cylindrical coordinate system)
0=
I know that (can visualize) first 2 inequalities say it is a cylinder of infinite length.
It seems that third inequality poses the restriction to the height as well as it makes us to remove a cone.
But I just can not understand it clearly.
Thanks in advance!
Regards,
Rahul 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 
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. 





Solve 2x^4+x^337x>26x^2+12 using a graphical approach. 
20121229 

Tehmas pose la question : Solve 2x^4+x^337x>26x^2+12 using a graphical approach.
I don't know how to find the xintercepts or yintercepts in this form. Penny Nom lui répond. 





5<2x+1<1 
20121111 

Rahul pose la question : How does 5<2x+1<1 changes to 1<2x+1<5. What is the rule?
Can we apply absolute value function throughout the first inequality i.e. can we say 5<2x+1<1. But then it becomes 5<2x+1<1 which is impossible because 5 is not less than 1. Penny Nom lui répond. 





A proof by contraposition 
20121019 

Rahul pose la question : I am not able to understand the following,
To prove that if for all e>0, x0, then x>=e. I understand the approach very well but I do not understand why if x=e then x>=e. If it is so then why not x=
Thanks in advance!'
Rahul. 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. 





Linear inequalities 
20110325 

Alice pose la question : OK. I'm in algebra 1 and the linear inequality is
y<2x1
y>2
I don't completely know how to graph y>2 and I'm getting really frustrated
Please help me in any way possible!
Thank You! Penny Nom lui répond. 





An inequality 
20101213 

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





Linear inequalities with absolute values 
20101201 

ryan pose la question : Good day!
We we're given this assignment in algebra concerning linear inequalities with absolute value.
In this number I'm confused how to isolate the absolute value, considering there is a variable in the absolute value and there is a variable in the outside.
2+5 43t+t ≤ 34t Penny Nom lui répond. 





4 > 3m7 >= 2 
20100605 

pamela pose la question : The question is
4>3m7>=2 Penny Nom 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. 





Growth rates 
20100126 

Bhavya pose la question : Dear Sir/Ma'am,
I read in the text book that the growth rates of these 3 functions are as below
n^{2/3} < n/lg n < n^{0.99}
I tried the substitution method to check the correctness of this. But it gets really tough as n increase.
Is there any simpler way to understand the correctness of these growth rates?
Thanks and Regards,
Bhavya Robert Dawson lui répond. 





2(x4)>4+2x 
20090827 

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





Inequalities 
20090722 

Sindhu pose la question : prove that
4^79 < ( (2^100) + (3^100) )< 4^80 ? Robert Dawson lui répond. 





Solve 1<52x<10 for x 
20090512 

Helen pose la question : solve the following inequality for x
1<52x<10 Te less then sign by the one, should be less then or equal to. Stephen La Rocque and Penny Nom 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. 





Two inequalities 
20081008 

s pose la question : 3y > 4x
2x3y>6 Stephen La Rocque lui répond. 





How do you solve for x when (x^4)x is greater than or equal to 0? 
20080814 

Katie pose la question : How do you solve for x when (x^4)x is greater than or equal to 0? 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. 





How is the square root of 3/4 is greater than 3/4? 
20080422 

Serena pose la question : How is the square root of 3/4 is greater than 3/4? Penny Nom 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. 





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. 





Variable expressions  part 2 
20070904 

lisa pose la question : how do I write a variable expression for word phrase example x less than =
2 or 2 less than p
4 fewer than job please help Penny Nom lui répond. 





Simultaneous inequalities 
20070618 

Freddy pose la question : Watson Electric has production facilities in Valley Mills, Marlin,and Hillsboro.
Each one produces radios,stereos,and TV sets.
There production capacities are
Valley Mills: 10 radios, 12 stereos, and 6 TV sets per hour
Marlin: 7 radios, 10 stereos, and 8 TV sets per hour
Hillsboro: 5 Radios, 4 Stereos, amid 13 TV sets per hour
QUESTION
How many hours should each plant be scheduled to fill an order of 1095 radios, 1230 stereos,
and 1490 TV sets? Stephen La Rocque 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. 





A linear system 
20070323 

Adam pose la question : Solve the system by graphing: 4y>6x
3x+2y<6 Stephen La Rocque and Penny Nom 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. 





Open dots and closed dots 
20050929 

Cynthia pose la question : When graphing the solutions of an inequality, what is the difference between an open dot and a closed dot? Penny 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. 





50^99 and 99! 
20050523 

Romel pose la question : Which number is greater, 50^{99} or 99! Claude Tardif 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. 





Square roots and inequalities 
20041025 

Waheed pose la question : Q1. What is the simplest way of finding a square root of any number using just a pen and paper? (I am asking this question because I browsed a few sites a didn't find any method that is simpler than the one I use. so I am just curious.)
Q2. Is it possible that you take an equation and turn it into an inequality by performing same mathematical operations on both sides? Claude Tardif and Penny Nom 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. 





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. 





A linear inequality 
20010917 

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





< and > Which one is which? 
20001206 

Alice pose la question : This grandmother forgot and wants to know the correct for greater and the one for lesser..... the two are < and > Which one is which? Penny Nom lui répond. 





Larger and smaller 
20001010 

Nicole pose la question : which one of these arrows < , > points to the greater number? which arrows points to the smaller number. 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. 





Inequalities and absolute values 
19991207 

Austin Cline pose la question : Solve for x: The absolute value of x1 is less than or equal to the absolute value of x2 Harley Weston lui répond. 





62x<4 
19991020 

Tchilco pose la question : Solve 62x<4 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. 

