Wagner Lewis
04/26/2023 · Primary School

Solve the inequality. Graph the solution set. \[ |x| \leq 14 \]

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Solve the equation \( |x| \leq 14 \). Solve the inequality by following steps: - step0: Solve for \(x\): \(\left|x\right|\leq 14\) - step1: Separate into possible cases: \(\left\{ \begin{array}{l}x\leq 14\\x\geq -14\end{array}\right.\) - step2: Find the intersection: \(-14\leq x\leq 14\) The solution to the inequality \( |x| \leq 14 \) is \(-14 \leq x \leq 14\). This means that the solution set includes all real numbers between -14 and 14, including -14 and 14.

Quick Answer

The solution is \(-14 \leq x \leq 14\).
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