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AP EAMCET · Maths · Functions

The set of all real numbers satisfying the inequation \(x^2-|x+2|+x>0\) is

  1. A \([-2,-\sqrt{2}) \cup(\sqrt{2}, \infty)\)
  2. B \((-\infty,-2) \cup(2, \infty)\)
  3. C \((-\infty,-\sqrt{2}) \cup(\sqrt{2}, \infty)\)
  4. D \((-\infty,-2) \cup(\sqrt{2}, \infty)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \((-\infty,-\sqrt{2}) \cup(\sqrt{2}, \infty)\)

Step-by-step Solution

Detailed explanation

\(x^2-|x+2|+x>0\) Case I If \(x+2 \geq 0\)…