Source: Extra Practice
Which of the following is the correct solution set for the inequality |x + 4| < 3?
Options
Option A is correct
(-7, -1)
Option B
[-7, -1]
Option C
(-∞, -7) ∪ (-1, ∞)
Option D
(-1, 7)
Explanation
The inequality |x - a| < r translates to -r < x - a < r. Here, |x + 4| < 3 implies -3 < x + 4 < 3. Subtracting 4 from all sides: -3 - 4 < x < 3 - 4 results in -7 < x < -1. Since the inequality is strict ( 3. Option D has calculation errors.