Answer:
C: x > -6 or x < –9
Step-by-step explanation:
x + 9 < 0 or 2x > –12
For x + 9 < 0:
Isolate x by subtracting 9 from both sides of the inequality:
x + 9 – 9 < 0 – 9
x + 0 < – 9
x < – 9
For 2x > – 12:
Isolate x by dividing both sides of the inequality by 2:
[tex]\frac{2x}{2} > \frac{-12}{2}[/tex]
x > – 6
Therefore, the solution is:
x < – 9 or x > – 6
Interval notation: [(– ∞, –9) ∪ (–6, ∞)]
The answer is C: x > -6 or x < –9
