SOLUTION: Solve and answer in interval notation: -3x - 12 < -9 and 2(x+7) &#8805; -50

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Question 500189: Solve and answer in interval notation:
-3x - 12 < -9 and 2(x+7) ≥ -50

Answer by lwsshak3(11628) About Me  (Show Source):
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Solve and answer in interval notation:
-3x - 12 < -9 and 2(x+7) ≥ -50
**
-3x - 12 < -9
-3x<-9+12
-3x<3
Divide both sides by -3 and reverse inequality sign
x>-1
..
2(x+7) ≥ -50
2x+14≥-50
2x≥-50-14
2x≥-64
x≥-32
..
ans
(-1, ∞) (since this is a "and" inequality, functions must intersect or overlap)