Question

If x2
– 5x + 8 is positive, then find range of x.

Answer 1

Answer:

(2<x<3).

Step-by-step explanation:

ANSWER

f(x)=∣x

2

−5x+6∣, f

′

(x)=?

f(x)=∣(x−2)(x−3)∣

f(1)=∣1−5+6∣=2

So in (2,3) it is negative

⇒f(x)=(5x−x

2

+6) in (2,3)

f

′

(x)=5−2x for (2<x<3).