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What is the solution to |x – 2| + 3 > 17?A. x < –12 or x > 16B. x < –14 or x > 7C. –12 < x < 16D. –14 < x < 7

What is the solution to |x – 2| + 3 > 17?A. x < –12 or x > 16B. x < –14 or-example-1
User Scrimothy
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1 Answer

17 votes
17 votes

Solve the equation:


|x-2|+3>17

Subtracting 3 on both sides of the inequality:


|x-2|>14

The solutions to this inequality come from the following conditions:


\begin{gathered} x-2>14 \\ \\ OR \\ \\ x-2\lt-14 \end{gathered}

Adding 2 to both inequalities:


\begin{gathered} x>16 \\ \\ OR \\ \\ x\lt-12 \end{gathered}

Answer: First choice

What is the solution to |x – 2| + 3 > 17?A. x < –12 or x > 16B. x < –14 or-example-1
User Dexty
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