Answer:
-8 ≤ x < 4
Step-by-step explanation:
5x + 6 ≥ -34 subtract 6 from both sides
5x + 6 - 6 ≥ -34 - 6
5x ≥ -40 divide both sides by 5
x ≥ -8
and
-2x - 2 > -10 add 2 to both sides
-2x - 2 + 2 > - 10 + 2
-2x > -8 change the signs
2x < 8 divide both sides by 2
x < 4
We have x ≥ -8 and x < 4 ⇒ -8 ≤ x < 4
