Question

Which of the following is an equivalent form of the compound inequality -44 > -2x - 8 ≥ -8

Answer 1

-44 > -2x - 8
-44 + 8 > -2x
- 36 > -2x
-36/-2 < x (change the sign when dividing by a negative)
18 < x

-2x - 8 >= -8
8 - 8 >= 2x
0 >= 2x
0/2 >= x
0 >= x

so we have x is greater then 18 and x is less then or equal to 0
open circle on 18, shading to the right and closed circle on 0, shading to the left.

Answer 2

any questions ?