Question

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

Answer 1

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.