For which values of x is the value of (x2 − 6x + 8) negative?

For which values of x is the value of (x² − 6x + 8) negative?

A 2 < x < 4

B x < 4

C 8 > x > 6

D x > 8

Correct Answer: Option A

x² - 6x + 8 = 0
⇒ x² - 4x - 2x + 8 = 0
⇒ x(x - 4) - 2(x - 4) = 0
⇒ (x - 4)(x - 2) = 0
⇒ x = 4 Or, x = 2

So, 2 < x < 4