Which of the following is the correct solution set for the inequality |x + 4| < 3?
Model Answer & Options
Source: Extra Practice(-7, -1)
[-7, -1]
(-∞, -7) ∪ (-1, ∞)
(-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.
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