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.

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