Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The solution set of the equation
, where
and
are the greatest integer and nearest integer to
, is
Text Solution
Verified by ExpertsThe correct answer is:
C
Given, 
where
greatest integer function .
Simplify: 

Let
.
Then 
(for all real
).
Hence, 


So
must be an integer.
Therefore, the solution set is I
(the set of integers).
──────────────────────────────────────────────────────────────────────────────────────────
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