Answer:
-7 ≤ n ≤ -5
Step-by-step explanation:
4 – 2|n + 6| ≥ 2
Subtract 4 from each side
4-4 – 2|n + 6| ≥ 2-4
– 2|n + 6| ≥ -2
Divide by -2. Remember to flip the inequality
– 2|n + 6|/-2 ≤ -2/-2
|n + 6| ≤ 1
We have two solutions one positive and one negative
n+6 ≤ 1 and n+6 ≥-1
Subtract 6 from each side
n+6-6 ≤ 1-6 and n+6-6 ≥-1-6
n ≤ -5 and n ≥-7
-7 ≤ n ≤ -5
