Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If a ≠ 0 then the inequation |x – a| + |x + a| < b-
A
Has no solution if b ≤ 2|a|
B
Has a solution set 
if b > 2 |a|
if b > 2 |a|
C
Has a solution set 
if b < 2 |a|
if b < 2 |a|
D
Has no solution if b > 2|a|
Text Solution
Verified by ExpertsThe correct answer is:
B
(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 ∈ 
⇒ is true and for b ≤ 2|a|
Hence no solution.
So and are true.
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