CAT 2021 Inequalities Question (Hard)

Question

The number of distinct pairs of integers satisfying is

Accepted Answer

Step 1 We are given a compound inequality Let s denote and So the inequality becomes This means must be 1, 2, 3, or 4 And Step 2 We test each possible value of from to , excluding 0. For each integer value of with and , find integer pairs such that - - Go case by case Case 1 pairs 0,4 , 1,3 , 2,2 ,

CAT 2021

Quantitative

Inequalities

Hard

The number of distinct pairs of integers $(m, n)$ satisfying
$|1 + mn| < |m + n| < 5$ is:

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