Problem

Determine the possible values of x:
1) $|x| \leq 7$

Answer

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Answer

\(\boxed{-7 \leq x \leq 7}\)

Steps

Step 1 :The absolute value of a number is its distance from zero on the number line. Therefore, \(|x| \leq 7\) means that x is within 7 units of zero on the number line.

Step 2 :This means that x can be any number from -7 to 7, inclusive.

Step 3 :\(\boxed{-7 \leq x \leq 7}\)

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