Posted by linear inequalities on .
1. x+4 < 32
2. 3(y+10)<= 4(y+10)
3. 3x<= 9
4. 2x1>= 8
5. 5x3>=15
>= greater than or equal
<= less than or equal

advance algebra 
Reiny,
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
5x3 ≥ 15
5x3 ≥ 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.