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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If a ≠ 0 then the inequation |x – a| + |x + a| < b

Has no solution if b ≤ 2 |a|

Has a solution set

if b > 2 |a|

Has a solution set

if b < 2 |a|

Has no solution if b > 2|a|

Text Solution

Verified by Experts

The correct answer is:

(a, b)

If a > 0 2x < b if x > a

2a < b if – a < x < a – 2x < b if x < – a

If a < 0 ⇒ 2x < – a if x > – a – 2a < b if a < x < – a

– 2x < b if x < a

Hence b > 2|a| if – a < x < a

⇒ b > 2|a| if x ∈ ⇒ B is true and for

b ≤ 2|a| hence no solution

So A, B are true

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