CAT 2021 Inequalities Question (Medium)

Question

The number of integers n that satisfy the inequalities n - 60 n - 100 n - 20 is

Accepted Answer

To solve the inequalities n - 60 20 always true . - The critical point occurs at n 60 . Thus, for n 60 , the inequality holds. - Therefore, we conclude that n 60 . 3. Combining the results - From the first inequality, we have n 60 . - Combining these results gives us the range 60 n 80 , which means

CAT 2021

Quantitative

Inequalities

Medium

The number of integers n that satisfy the inequalities |n - 60| < |n - 100| < |n - 20| is

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