QuestionAugust 24, 2025

3. Find the solution set for the absolute value. vert 3u-6vert =42

3. Find the solution set for the absolute value. vert 3u-6vert =42
3. Find the solution set for the absolute value. vert 3u-6vert =42

Solution
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Answer

\{16, -12\} Explanation 1. Remove Absolute Value Set 3u - 6 = 42 and 3u - 6 = -42. 2. Solve First Equation 3u - 6 = 42 \Rightarrow 3u = 48 \Rightarrow u = 16 3. Solve Second Equation 3u - 6 = -42 \Rightarrow 3u = -36 \Rightarrow u = -12

Explanation

1. Remove Absolute Value<br /> Set $3u - 6 = 42$ and $3u - 6 = -42$.<br /><br />2. Solve First Equation<br /> $3u - 6 = 42 \Rightarrow 3u = 48 \Rightarrow u = 16$<br /><br />3. Solve Second Equation<br /> $3u - 6 = -42 \Rightarrow 3u = -36 \Rightarrow u = -12$
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