Solution of the inequality x > (1-x) is given by

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

Solution of the inequality x > \(\sqrt{(1-x)}\) is given by
  1. \((-\infty,(-1-\sqrt{5}) / 2)\)
  2. \(((\sqrt{5}-1) / 2, \infty)\)
  3. \((-\infty,(-1-\sqrt{5}) / 2) \cup((\sqrt{5}-1) / 2, \infty)\)
  4. \(((\sqrt{5}-1) / 2,1]\)

Answer

(D) (( 5 -1) / 2,1]

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