To solve an absolute inequality first step is to isolate absolute value expression.
Hence remove -4 from the left side. So, add 4 to each sides of the inequality.
2|x + 7|−4 ≥ 0
2|x + 7|−4 +4≥ 0 +4
2|x + 7| ≥ 4 Combine the like terms.
[tex] \frac{2|x+7|}{4} \geq \frac{4}{2} [/tex] Divide each sides by 2.
|x + 7| ≥2
Next step is to remove the absolute value sign. So,
x + 7≥2 and x+7≤-2.
x≥2-7 and x≤-2-7
x≥-5 and x≤-9
So, the correct choice is C. {x | x ≤ -9 or x ≥ -5}.
Answer:
The first one is C) {x|x<= -9 or x=> -5 }
The second one is (-infinity, -9] U [-5, infinity)
I just did it
