CAT 2023 Inequalities Question (Hard)

Question

Given A x 3 x-2 - 2x-8 . The maximum value of A is

Optima Learn · Accepted Answer

We have A x 3 x-2 - 2x-8 x 3 x-2 - 2 x-4 . Break the real line at the critical points x -3,2,4. 1. Case 1 x ge 4 - x 3 x 3, x-2 x-2, 2x-8 2x-8. - A x 3 x-2 - 2x-8 x 3 x-2-2x 8 9. 2. Case 2 2 le x le 4 - x 3 x 3, x-2 x-2, 2x-8 8-2x. - A x 3 x-2 - 8-2x 4x - 7. - On 2,4 , A increases with x so max at x

CAT 2023 Inequalities — Previous Year Question

CAT 2023

Quantitative

Inequalities

Hard

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