TS EAMCET · Maths · Functions
\(\{x \in R:[x-|x|]=5\}\) is equal to
- A R, the set of all real numbers
- B \(\phi\), the empty set
- C \(\{x \in R: x < 0\}\)
- D \(\{x \in R: x \geq 0\}\)
Answer & Solution
Correct Answer
(B) \(\phi\), the empty set
Step-by-step Solution
Detailed explanation
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 \(\therefore \quad f(x)=\phi\)
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