#### Question

If (x-3)(x-7)(x-12)<0 , solve for real x in the inequality

Question

If (x-3)(x-7)(x-12)<0 , solve for real x in the inequality

Let

f(x) =(x-3)(x-7)(x-12)

there are two scenarios when f(x) is less than 0

First

x<3

and

x>7, then x>12

Second

x<12

and

x>7, then x>3

Therefore

The solution for the inequality is

x<3 or 7< x< 12