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CAT 2025 Slot 2 — QA Question 14

Inequalities & ModulusMedium

The set of all real values of xx for which (x2−∣x+9∣+x)>0\left( x ^ { 2 } - | x + 9 | + x \right) > 0, is

Answer & solution

Correct answer: \( ( - \infty , - 3 ) \cup ( 3 , \infty ) \)

  • A
    (−∞,−9)∪(9,∞)( - \infty , - 9 ) \cup ( 9 , \infty )
  • (−∞,−3)∪(3,∞)( - \infty , - 3 ) \cup ( 3 , \infty )
  • C
    (−9,−3)∪(3,∞)( - 9 , - 3 ) \cup ( 3 , \infty )
  • D
    (−∞,−9)∪(3,∞)( - \infty , - 9 ) \cup ( 3 , \infty )

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CAT 2025 Slot 2 QA Q14 — Inequalities & Modulus solution | TheCATExam