Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The number of values of x satisfying the equation | 2x + 3 | + | 2x – 3 | = 4x + 6, is
Text Solution
Verified by ExpertsThe correct answer is:
A
|2x + 3| + |2x – 3| = 4x + 6
Case -I : x ≥
⇒ 2x + 3 + 2x – 3 = 4x + 6 ⇒ No solution
Case -II : –
≤ x ≤
⇒ 2x + 3 + 3 – 2x = 4x + 6 ⇒ x = 0
Case -III : x ≤ –
⇒ –2x – 3 – 2x + 3 = 4x + 6 ⇒ No solution
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