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Inequalities Involving Modulus Function

If | x -7| ≤ ...

Question

If $| x - 7 | \leq 1,$ then $x$ can be represented on the number line by

A

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B

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C

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D

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Solution

The correct option is A
$| x - 7 | \leq 1$
We know that turning point of $| x - 7 |$ is $7.$
$\Rightarrow x \in [6, 8]$

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