MBApyq

Quadratic Inequality

CAT 1996 Slot 1 · Quantitative Ability · Easy · QA

This is an easy Quantitative Ability question from the CAT 1996 Slot 1 paper. It tests QA. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

All CAT 1996 Slot 1 questionsMore QA questionsAll CAT QA

Which of the following values of xx do not satisfy the inequality (x2−3x+2>0)(x^2 - 3x + 2 > 0) at all?

  1. A.

    1≤x≤21 \le x \le 2

  2. B.

    −1≥x≥−2-1 \ge x \ge -2

  3. C.

    0≤x≤20 \le x \le 2

  4. D.

    0≥x≥−20 \ge x \ge -2

Answer

A

Explanation

(x−1)(x−2)>0  ⟹  x>2(x-1)(x-2) > 0 \implies x > 2 or x<1x < 1. Thus no value in 1≤x≤21 \le x \le 2 satisfies the inequality.

Related QA questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace