Questions on Algebra: Inequalities, trichotomy answered by real tutors!

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Tutors Answer Your Questions about Inequalities (FREE)


Question 184532: Please help me to solve.
a+(a-3) less than or equal to sign (a-8)-(a+3)

Click here to see answer by jim_thompson5910(13787) About Me 

Question 184554: The problem 7x+3<=7(x+1)has got me!
My best solution.
7x+3<=7(x+1)
= 7x+3<=7x+7
= -3 -3
= 7x<=7x+4
=-7x -7x
= 0<=4
This is so frustrating. Thank you for any answers.

Click here to see answer by vleith(1977) About Me 

Question 184676: The Heights, h. of the students at the middle school satisfy the inequality | h-57.5/2| less than or equal to 3.25, where h is measured in inches.
Determine the interval in which these heights lie and express your answer to the nearest tenth of a foot.

Thanks soooo much!

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Question 184817: 3m-3>15+m
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Question 184897: Jenny wants to utilize a portion of her garden for growing flowers. Being a designer herself, she visualizes a triangular area with different lengths for each side. For this Jenny decides to keep a side of the triangular area 3 feet shorter and the other 2 feet longer than the third side. She also wants to restrict the perimeter of the triangular area to 32 feet, so that it does not cover a huge area of the garden. Determine the maximum length of each side of the triangular area that Jenny has visualized
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Question 185121: I need help in determining the x and y intercepts for 2x + 3y = 9.
Click here to see answer by edjones(3291) About Me 

Question 185171This question is from textbook Addison-Welsey Algebra
: The difference of two numbers is 8; the product is 65. Find the numbers.This question is from textbook Addison-Welsey Algebra

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Question 185208: m-3.4>12
Click here to see answer by checkley77(7035) About Me 

Question 185251: Please help me solve this equation:-2(4y-21)<12y-16+9y

Click here to see answer by Alan3354(6059) About Me 

Question 185331: Detremine whether the given number satisfies the inequality of the following
-5,-3<-3x-7<8

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Question 185424: how to graph x+y>2 and 2x-3y<1
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Question 185522: The usual toll charge to use the Bingham tunnel is 50 cents. If you purchase a special sticker for $5.50, the toll is only 35 cents. At least how many trips through the tunnel are needed before the sticker costs less than paying for each trip separately?
Click here to see answer by stanbon(26259) About Me 

Question 185534: I have tried this but can not figure out, especially the "set-builder notation."
4
- (3x + 4) < 20
5
Did not know how but its suppose to be < with a line underneath.

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Question 185561: Please show me how to solve the following problem:
Thank you!

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Question 185901This question is from textbook
: 5(12-3w)>15w+60This question is from textbook

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Question 186257This question is from textbook Beginning Algebra
: could someone please help me solve this problem? I would greatly appreciate it.


Write the sum of the first and fourth of four consecutive even integers. Let x be the first even integer.
This question is from textbook Beginning Algebra

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Question 186263: determine whether -4 is a solution of the inequality x>=4
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Question 186569: I am having problem solving this question
5x<16+x
I don't know how to tell when it is greater than and less than

Click here to see answer by jim_thompson5910(13787) About Me 

Question 186647: I am having problems solving this inequality 4x^2-x-14
Click here to see answer by checkley77(7035) About Me 

Question 186737This question is from textbook mathematics concepts and skills
: i need help with mostly all of my work and homework...
i dont understand math that much because it is very confusing
and in-understandable to me!!!
This question is from textbook mathematics concepts and skills

Click here to see answer by Earlsdon(4898) About Me 

Question 186877: Can you please help me with this problem I am having a very hard time with it.
The problem is 7(x - 2) < -5
Can you please help, and explain how you did it.
Thank you

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Question 186882: I am having an extensive amount of trouble on this question, the question is -9x/11 - 7 < -5
Thank-you

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Question 186876: I am having trouble with this problem and I was wondering if you could help.
My problem is 7(x - 2) < -5
And could you explain how you got it.
Please and Thank you

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Question 187035: Write in simplest form. Please help!
x^+14x+40 over x^-100

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Question 187286This question is from textbook
: I am having trouble figuring out what the inequality symbol for less than. Will you please help? Thanks!This question is from textbook

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Question 187311: Hello. I have a question that I can't understand how to solve. Any help would be appriciated. Thank you!
Solve, graph on a number line and write your answer in set-builder notation.
- x/2 + 4 < 3x/2 + 8
It's - x over 2 and 3x over 2. I did not know how to do fractions on here so used the / sign.

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Question 187450This question is from textbook pre-algebra
: This question is from textbook pre-algebra

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Question 187492This question is from textbook
: I need help solving the following which includes addition and multiplication principles.
4z-3 > 3z-13
This question is from textbook

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Question 187773: I need your help on solving an inequality. I know how to solve it but I don't understand the test points. For example:
x^2+6x<16
I know that the problem gets put in standard form
x^2+6x-16<0
and then it is factored
(x+8)(x-2)
then you set the factors equal to zero for the x intercepts
x+8=0 x=-8 and x-2=0 x=2
but I don't understand the test points
for example
(-2,8)
(-8,2)
(-8,-2)U (8,8)
(-8,-8)U (2,8)
please explain

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Question 187797: hi, i have a lot of trouble with word problems and was wondering if you could help. here is the problem.
In your economics 101 class, you have scores of 68, 82, 87 and 89 on the first four of five tests. To get a grade of B, the average of the first five test scores must be greater than or equal to 80 and less than 90. Solve an inequality to find the range of the score that you need on the last test to get a B.
i did (68+82+87+89+x)/5 > 80 but i dont think that really helps..
thank you!

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Question 187797: hi, i have a lot of trouble with word problems and was wondering if you could help. here is the problem.
In your economics 101 class, you have scores of 68, 82, 87 and 89 on the first four of five tests. To get a grade of B, the average of the first five test scores must be greater than or equal to 80 and less than 90. Solve an inequality to find the range of the score that you need on the last test to get a B.
i did (68+82+87+89+x)/5 > 80 but i dont think that really helps..
thank you!

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Question 187803: what is x=7y?
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Question 188222This question is from textbook
: 3x - 5 is greater than or equal to 7x + 3
I need help solving this problem. Could someone help me work this problem?
This question is from textbook

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Question 188295: Can you help me solve this inequality? This is the question:
Option 1: C=_3x+32________________
Option 2: C=__6.50x_______________
How many hours would you have to rent the court so that the monthly cost of option 1, is less than option 2. Set up an inequality and show your work algebraically using the information in part a. Round to 3 decimal places if necessary.

This is what I have gotten so far:
32+3x<6.50x
-3x -3x
= 32<3.50x
32/3.50x<3.50x/3.50x

Click here to see answer by stanbon(26259) About Me 

Question 188308This question is from textbook Discovering Algebra An Investigative Approach
: Solve and show work:
2x-3>5x-3x+3
This question is from textbook Discovering Algebra An Investigative Approach

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Question 188307: Solve and show work:
4.1+3.2x>18

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Question 188652: a roller coaster can carry 36 people per ruun. at least how many times does the roller coaster have to run to allow 10,000 people to ride?
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Question 188694: Hello, can someone solve this inequality? thanks

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Question 188949: 7+3y>2y-5
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Question 188952: 2x-7>_4(x-3)+3x
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Question 188950: 3(a-2)>-5a-2(3-a)
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Question 188951: 4+2(3-2y)<_6y-20
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Question 189233: Please help.....
-4x - 23 >= 25
solve the inequality for w and simplify answer as much as possible.

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Question 189286: write each english sentence as an equation in two variables. then graph the equation.
the y-value is the difference between four and twice the x-value

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