Posted by **linear inequalities** on Saturday, January 15, 2011 at 3:32am.

1. x+4 < 32

2. -3(y+10)<= 4(y+10)

3. |-3x|<= 9

4. |2x-1|>= 8

5. |5x-3|>=15

>= greater than or equal

<= less than or equal

- advance algebra -
**Reiny**, Saturday, January 15, 2011 at 8:51am
Follow the same steps for inequations as you do for equations, EXCEPT ...

when you multiply or divide both sides by a negative, reverse the inequality sign.

e.g. #2

-3(y+10)<= 4(y+10)

-3y - 30 ≤ 4y + 40

-3y - 4y ≤ 40 + 30

-7y ≤ 70

divide by -7

y ≥ =10

for absolute values ...

e.g. #5

|5x-3| ≥ 15

5x-3 ≥ 15 OR -5x+3 ≥ 15

5x ≥ 18 OR -5x ≥ 12

x ≥ 18/5 OR x ≤ -12/5

Do the others the same way, in #3 use AND as the separator.

## Answer This Question

## Related Questions

- math - State the null hypothesis, Ho, and the alternative hypothesis, Ha, that ...
- math - 7. The tennis team is selling key chains as a fundraiser. If its goal is ...
- Algebra--Correction? - Solve x^2 -3x is greater than or equal to 10 Would the ...
- Algebra - Use a graphing calculator or a computer to graph the system of ...
- advance algebra - 1. 2(6x+13)-7 >= 21 ">=" is greater than or equal <= ...
- College Algebra - How do you solve this to graph the system of inequalities? x+...
- Math - Hi everyone, my name is Emerson. I was wondering if anybody could help me...
- Intermediate Algebra - Find the maximum value of the objective function and the ...
- algebra - use the inequality -4t-8 is less than or equal to 12 a. t is greater ...
- Math - Which is equivalent to the inequality shown below? z/2 (less than equal ...

More Related Questions