Question

Which of the following represents the critical points thatdefine the test intervals for the rational inequality

Answer 1

Given,

The expression is,

$\frac{3x-9}{x+4}<0$

Required:

The critical value of the rational expression.

Taking the given expression as,

$\begin{gathered} \frac{3x-9}{x+4}=0 \\ 3x-9=0 \\ 3x=9 \\ x=3 \\ x+4=0 \\ x=-4 \end{gathered}$

Hence, the critical values are x = 3 and x = -4.