What is the solution to
5x + 6 ≥ -34 and -2x - 2 > -10

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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

answer: 45