Answer: -5 ≤ x ≤ 0.
Explanation:
To solve the inequality, we need to consider two cases:
Case 1: -2x - 5 ≤ 5
Adding 5 to both sides gives:
-2x ≤ 10
Dividing both sides by -2 and reversing the inequality:
x ≥ -5
Case 2: -(-2x - 5) ≤ 5
Simplifying:
2x + 5 ≤ 5
Subtracting 5 from both sides gives:
2x ≤ 0
Dividing both sides by 2:
x ≤ 0
Therefore, the solution set is -5 ≤ x ≤ 0.