Can someone please solve these

Please with an explanation, link is below. They're absolute values and inequalities.

http://imageshack.us/f/194/absolutev.png/

I'd really appreciate it.

2, 5m+2 = 3 or -3

5m = 1 or -5
m = 1/5 or -1 --> 1st answer

4, abs(h+3) less than/= 3
then CAN equal -6 and 0 and all values in between (draw a number line)

--> 3rd answer

10-4a-7 >= -5a-6
-4a + 3 >= -5a - 6
-4a + 5a >= -6 -3
a >= -9

[ -9, inf)

2nd answer

1.
|5m+2|+5=8
=> |5m+2|=3
=> 5m+2=±3
=> 5m=1 or 5m=-5
=> m=1/5 or m= -1
2.
|h+3|+9<=12
=>|h+3|<=3
=>-3<=h+3<=3
=>-6<=h<=0
3.
10-4a-7>=-5a-6
=> 9>=-a
=>a>=-9