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$\{x \in R:[x-|x|]=5\}$ is equal to
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Verified Answer
The correct answer is:
$\phi$, the empty set
Let $f(x)=\{x \in[R:(x-|x|]=5\}$
$f(x)=0$ for $x \geq 0$ and $f(x) < 0$ for $x < 0$
$\Rightarrow$ no value of $x$ is satisfying the relation
$\therefore \quad f(x)=\phi$
$f(x)=0$ for $x \geq 0$ and $f(x) < 0$ for $x < 0$
$\Rightarrow$ no value of $x$ is satisfying the relation
$\therefore \quad f(x)=\phi$
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