|5x+10|< or equal to 5

|3x-6|> or equal to 9

and

x^2-3x+2/x^2-1 <0

Absolute value means the number of spaces away from 0 on the number line the number is. For example, |-8|=8, because it is 8 spaces away from 0.

So, to solve absolute value equations, you have to figure it for both ways it could be on the number line--postive (to the right of 0) and negative (to the left of zero).

|5x+10|<= 5
5x+10=5 -5x-10=5
5x=-5 -5x=15
x=-1 x=-3

So then you input these answers into the original equation:
|5x+10|<=5 |5x+10|<=5
|5(-1)+10|<=5 |5(-3)+10|<=5
|-5+10|<=5 |-15+10|<=5
|5|<=5 |-5|<=5
5<=5 true 5<=5 true

So your solution set would be {-1, -3}

Now that I showed you how to do this one, try doing the other two like this. If you can't get it, post again.

Sigh. When I typed it out, there were spaces between the equations.