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Inequalities Involving Modulus Function

If -3≤ |x|<7,...

Question

If $- 3 \leq | x | < 7,$ 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 B
$- 3 \leq | x | < 7$
We know that turning point of $| x |$ is $0.$ and $| x | \geq 0$
$\Rightarrow | x | < 7$
$\Rightarrow x \in (- 7, 7)$

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Inequalities Involving Modulus Function

Standard XIII Mathematics

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