Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number of ordered pairs
, where
are integers satisfying the inequality
, is :
Text Solution
Verified by ExpertsThe correct answer is:
9
(9)
We want integer pairs (
) such tha 
Step 1: Find min and max
convex
minimum at 

concave - maximum at 

Step 2: Set inequality

Simplify:

Step 3: Count integer solutions
Integer solutions of
:


Total 
──────────────────────────────────────────────────────────────────────────────────────────
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
If the roots of are equal then
Let α α , β β be the roots of the equation , , then the roots of the equation are
Let a > 0, b > 0 & c > 0. Then both the roots of the equation ax 2 + bx + c = 0
Find the set of all real values of λ such that the root of the equation x 2 + 2(a + b + c)x + 3λ (a…
If for all , then belongs to the interval
If ' ' is real, then can take all real values if