RynleeX651323 RynleeX651323
  • 25-10-2022
  • Mathematics
contestada

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

5Which of the following is a critical number of the inequality x25x6lt0 class=

Respuesta :

RashaV622149 RashaV622149
  • 25-10-2022

Answer:

B. 1

Explanation:

Given the inequality:

[tex]x^2+5x-6<0[/tex]

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

[tex]x^2+5x-6=0[/tex]

Next, solve for x:

[tex]\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}[/tex]

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

The correct option is B.

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