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  • Solution of isOption: 1 <img alt="\left [ -4,4 \right ]" src="/late

Solution of || x|-2| \leq 2 is

Option: 1

\left [ -4,4 \right ]

 


Option: 2

(-4,4)


Option: 3

R


Option: 4

None of these


Answers (1)

\begin{aligned} &|| x|-2| \leq 2 \\ \Rightarrow &-2 \leq|x|-2 \leq 2 \\ \Rightarrow &0 \leq|x| \leq 4 \\ \Rightarrow & 0 \leq|x| \text { and }|x| \leq 4 \\ \Rightarrow & x \in R \quad \text { and }-4 \leq x \leq 4 \\ \Rightarrow & x \in R \quad \cap[-4,4] \\ \Rightarrow & x \in[-4,4] . \end{aligned}

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Kshitij

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