Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number of solution of the equation sgn ({x}) = |1– x| is/are (where {•} represent fractional part function and sgn respresent signum function)
Text Solution
Verified by ExpertsThe correct answer is:
D
Case -I : x ∈ I
0 = |x – 1| ⇒ x = 1
Case- II : x 
I
1 = |x–1| ⇒ x = 0, 2 (reject both
x = 1
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Match the set P in column one with its super set Q in column II
Column – Ι (set P) Column – ΙΙ (set…
If ≤ 4, then the least and the highest values of 4x 2 are:
If ≥ 1 and is an odd integer then number of possible values of α is
If log a b = 2; log b c = 2 and log 3 c = 3 + log 3 a then (a + b + c) equals
The sum of the solutions of the equation 9 x – 6 · 3 x + 8 = 0 is
The expression: reduces to