x - 7 > 10
x > __

3x < 20 (underscore under the less / greater than sign)
x < __

5a - 2 < 8
a < __

2t + 8 > 4(t + 1) (underscore under the less/greater than sign)
t > __

1. I assume you want to solve these inequalities. Just do them the way you would work with equations.

x - 7 > 10
x > 17

3x <= 20
divide by 3:
x <= 20/3

5a - 2 < 8
add 2, then divide by 5:
5a < 10
a < 2

2t + 8 >= 4(t + 1)
2t + 8 >= 4t + 4
subtract 4 and subtract 2t:
4 >= 2t
2 >= t
or, t <= 2

posted by Steve
2. If you know how to solve equations, you should have no trouble solving inequations.
Just pretend you have an equal sign and use the same steps.
The only exception is: When you multiply or divide both sides by a negative number, you must also reverse the inequality sign

I will do the last one to illustrate

2t + 8 ≥ 4(t + 1)
2t + 8 ≥ 4t + 4 , same as you would for equation
2t -4t ≥ 4 - 8 , same as you would for equation
-2t ≥ -4, still the same steps , BUT NOW:
I have to divide by -2, so do the arithmetic for that
but, I have to reverse the inequality sign

t ≤ 2

check my answer by taking a value of x below 2, then another above 2 in the original inequation.
notice at t = 2, the left side equals the right side

you do the others the same way

posted by Reiny
3. Thank you both so much! This helps a lot :)

posted by Carolyn

## Similar Questions

1. ### speech/english

this is kinda similar to last nights question We have to write an introduction, thesis, and now part of the body My topic was if I could do anything without getting in trouble, what would it be? My introduction is life is a risk
2. ### Planning

Negotiation/Delay/Refusal Skills - Assignment There are many ways to say “no” to pressure from a dating partner or peer. Some of the ways to do this are listed below. For each skill, write a "pressuring statement" or one for
3. ### speech/english

this is kinda similar to last nights question We have to write an introduction, thesis, and now part of the body My topic was if I could do anything without getting in trouble, what would it be? My introduction is life is a risk

Does George think the new job will last a while? My Answer- Yes. What clues does he give? He says that they are not like the other guys. OR....... No, because he knows what Lennie could do, like in Weed. He knows Lennie's a lot of
5. ### Pre-algebra

Hey I'm having a lot of trouble with this question. An open box is to be made from a 20 inch by 40 inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. A) What size should
6. ### stereotypes in psychology

are good dancers. drive Hummers. have more fun. are great lovers. cause trouble. are ditzy. are on welfare. live off other people. have hot tempers. are good with money. drink a lot. eat a lot.
7. ### calculus, again

Hey can you help me find the exact value of x in the equation 5^2x=3^(x+1)? Thanks a lot, this website is cool and helpful!
8. ### For Everyone on Jiskha

Hey, I just wanted to say a HUGE THANKS to everyone on this website for helping me out so far with calculus. I am actually understanding a lot because of the help I am getting, you are all a really big help. I appreciate it so
9. ### Statistics

Hey everyone! For my Math Class I need a tally of EVERYONE from the ages 10 to 20 to say who there favorite singer is in the below. I need a lot of tallies to get a good grade. Also, This is NOT a DEBATE this is a real assignment
10. ### chemisrty

I have seen on the chemistry answers that a symbol is used please can you tell me what it means they are the upside v eg Na^ and CN^ It means that the number or symbol that follows is placed in the top corner of Symbol before it

More Similar Questions