Question

∣x+2∣<13

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this inequality, we must consider two cases:

Case 1: x + 2 is positive
In this case, the inequality simplifies to x + 2 < 13
Subtract 2 from both sides: x < 11

Case 2: x + 2 is negative
In this case, the inequality simplifies to -(x + 2) < 13
Expand and simplify: -x - 2 < 13
Add 2 to both sides: -x < 15
Divide by -1 (and flip the inequality sign): x > -15

Therefore, the solution to the inequality ∣x+2∣<13 is -15 < x < 11.