Multiple Choice
Solve and graph the following absolute value inequalities. Express the solution in interval notation.
(A)
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2. Linear Equations and Inequalities
Absolute Value Inequalities
Multiple Choice
Solve and graph the following absolute value inequalities. Express the solution in interval notation.
(B)
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Verified step by step guidance1
Start with the given inequality: \(3\left|2x + 5\right| + 3 < 12\).
Isolate the absolute value expression by subtracting 3 from both sides: \(3\left|2x + 5\right| < 12 - 3\).
Simplify the right side: \(3\left|2x + 5\right| < 9\).
Divide both sides by 3 to further isolate the absolute value: \(\left|2x + 5\right| < \frac{9}{3}\).
Simplify the fraction: \(\left|2x + 5\right| < 3\). Now, rewrite this absolute value inequality as a compound inequality without absolute value: \(-3 < 2x + 5 < 3\).
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