Wagner Lewis
04/26/2023 · Primary School
Solve the inequality. Graph the solution set. \[ |x| \leq 14 \]
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Tutor-Verified Answer
Step-by-step Solution
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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