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