Question

5)Which of the following is a critical number of the inequality x^2+5x-6<0 ?

Answer 1

B. 1

Explanation:

Given the inequality:

`x^2+5x-6<0`

To find the critical number, first, change the inequality sign to the equality sign :

`x^2+5x-6=0`

Next, solve for x:

`\begin{gathered} x^2+6x-x-6=0 \\ x(x+6)-1(x+6)=0 \\ (x-1)(x+6)=0 \\ x-1=0\text{ or }x+6=0 \\ x=1\text{ or }x=-6 \end{gathered}`

Therefore, from the options, 1 is the critical number.

The correct option is B.