Which of the following values of x do not satisfy the inequality x^2 - 3x + 2 > 0 at all

• Quant Quadratic

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

1. 0 ≥ x ≥ –2
2. 0 ≤ x ≤ 2
3. –1 ≥ x ≥ –2
4. 1 ≤ x ≤ 2

Answer

x² - 3x + 2 > 0

(x - 2)(x - 1) > 0

Case 1: When both the terms are positive

x > 2 and x > 1; x > 2

Case 2: When both the terms are negative

x < 2 and x < 1; x < 1

Combining both cases, x cannot be between 1 and 2.

The correct option is D.