The inequality ≥ x is satisfied if

Maths Quadratic Equations Solution of Quadratic Inequations and Miscellaneous Equations Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

– 2 ≤ x ≤ 2

–3 ≤ x ≤ 2

– 4 ≤ x ≤ 2

None of these

Text Solution

Verified by Experts

The correct answer is:

x + 2 ≥ x 2 for x ≥ 0

x 2 – x –2 ≤ 0

(x –2)(x + 1) ≤ 0

x ∈ [0, 2]

x < 0 always valid but x + 2 ≥ 0

⇒ x ≥ – 2

x ∈ [–2, 2]

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