Question

How to solve - |x + 5| < -17

Answer 1

x∈(−∞,−22)∪(12,+∞)

Explanation:

Evaluate

−∣x+5∣<−17

Calculate

∣x+5∣>17

Separate the inequality into 2 possible cases

​x+5>17x+5<−17​

Solve the inequality for x

​x>12x+5<−17​

Solve the inequality for x

​x>12x<−22​

Solution

x∈(−∞,−22)∪(12,+∞)