Solve the absolute value inequality. Write solution in interval notation. 3|x + 7| + 9

Name: Solve the absolute value inequality. Write solution in interval notation. 3|x + 7| + 9 < 15 A) (-$\infty$, -15) $\cup$ (1, $\infty$) B) (-$\infty$, -9) $\cup$ (-5, $\infty$) C) (-15, 1) D) (-9, -5)
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Question

Solve the absolute value inequality. Write solution in interval notation. 3|x + 7| + 9 < 15
A) (-$\infty$, -15) $\cup$ (1, $\infty$)
B) (-$\infty$, -9) $\cup$ (-5, $\infty$)
C) (-15, 1)
D) (-9, -5)

Quizplus · Accepted Answer

First, simplify the inequality: 3|x + 7| + 9 < 15 becomes 3|x + 7| < 6, then |x + 7| < 2. Solving for x yields -2 < x + 7 < 2, which simplifies to -9 < x < -5.

Solve the Absolute Value Inequality ∞\infty∞ , -15) ∪\cup∪ (1 ∞\infty∞ ) B) (-

Solve the Absolute Value Inequality $\infty$ , -15) $\cup$ (1 $\infty$ )
B) (-