Published by:
CGP EDU Academic Team
Published on: August 11, 2026
The complete set of solution of Inequality 
≥ 0 is (where sgn respresent signum function)
Text Solution
Verified by ExpertsThe correct answer is:
A
Case -I x ∈ (– ∞ ,0)
⇒ 
⇒ 
≤ 0
⇒ x ∈ (– ∞ ,–1] ∪ (1,6]
⇒ x ∈ (– ∞ ,–1]
Case-II : x = 0 (which is sol )
Case- III : x ∈ (0,1)
⇒ 
⇒ 
⇒ x ∈ (– ∞ ,1) ∪ [2,3]
⇒ x ∈ (0, 1)
Case- IV : x = 1 (which is sol)
Case- V : x ∈ (1, ∞ )
⇒ 
⇒ x ∈ (–1,2] ∪ [3, ∞ )
⇒ x ∈ (1,2] ∪ [3, ∞ )
From all cases we get x ∈ (– ∞ ,–1] ∪ [0,2] ∪ [3, ∞ )
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