CAT 2017 Inequalities Question (Medium)

Question

For how many integers n, will the inequality n 5 n 10 3 n 2 0 be satisfied?

Accepted Answer

Step 1 Expand the inequality First expand each part So the expression becomes Step 2 Solve the quadratic inequality Find roots of the equation Use quadratic formula Step 3 Inequality holds between the roots Count the integers from 4 to 14 inclusive Final Answer The number of integers satisfying the

CAT 2017

Quantitative

Inequalities

Medium

For how many integers n, will the inequality (n – 5) (n – 10) – 3(n – 2) ≤ 0 be satisfied?

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