Question

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

Collected in the board: Inequality

Steven Zheng posted 1 year ago

Answer

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

Steven Zheng posted 1 year ago

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