The inequality is satisfied by:

Maths Logarithms, Indices and Surds, Partial Fraction Indices and Surds Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Only one value of x

x ∈

x ∈ [4, ∞ )

1 < x < 2

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION

(b, c)

≥ 2 ∴ x > 0 ..(i) squaring(i) both side

≥ 4 take log 2 on both sides

log 2 x ≥ 2 ⇒ ≥ 2 ⇒ 1/2(log 2 x)(log 2 x) ≥ 2

⇒ (log 2 x) 2 ≥ 4 ⇒ (log 2 x – 2) (log 2 x + 2) ≥ 0 log 2 x ≥ 2,

log 2 x ≤ – 2x ≥ 4, x ∈ ...(ii) form (i) & (ii) x ∈ (0,1/4] ∪ [4, ∞ )

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.