Question

∣x+9∣<7

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this inequality, we need to consider two cases:

Case 1: x + 9 is positive
In this case, the inequality becomes x + 9 < 7
Subtracting 9 from both sides, we get:
x < -2

Case 2: x + 9 is negative
In this case, the inequality becomes -(x + 9) < 7
Multiplying by -1 and simplifying, we get:
x + 9 > -7
x > -16

Therefore, the solution to the inequality ∣x+9∣<7 is -16 < x < -2.