Answer:
-2 ≤ x < 12
Explanation:
-15x +4 ≤ 34
Add 15x-34 to both sides
-30 ≤ 15x
Divide by 15
-2 ≤ x
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-6x +70 > -2
Add 6x +2 to both sides
72 > 6x
Divide by 6
12 > x
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The two solution spaces overlap. Since the AND of the two inequalities is involved, the solution of both is just that part of the number line where there is overlap.
The solution is ...
-2 ≤ x < 12