Question

Help with this math question please

Answer 1

For absolute value inequalities, you can split the equation in two parts.
|-5x + 10| ≤ 10 ,          and            |-5x + 10| ≥ -10.
5x + 10 ≤ 10                                    5x + 10 ≥ -10
        5x ≤ 0                                              5x ≥ - 20
          x ≤ 0                                                x ≥ -4


So your answers are x ≤ 0  , x ≥ -4.

Hope this helped!

Answer 2

|-5x+10| < = 10

Either : -5x+10 < = 10      or -5x+10 > = 10

solving te 1st inequality : 

-5x + 10 < = 10
-5x < = 0  and x> =0

solving te 2nd inequality:

-5x+10 < = -10
-5x < = - 20
5x> = 20
x> = 4

2 solutions : a) x>=0  AND b) x> = 4