What is the solution of x2+x-6/x-7< 0

The solution of the expression lies in

Step-by-step explanation:

Given : Expression

To find : What is the solution of teh expression ?

Solution :

Expression

First we factor the numerator,

The solution is by putting numerator equal to zero.

(x-2)(x+3)=0

(x-2)=0 , (x+3)=0

x=2 , x=-3

The solution is by putting denominator equal to zero.

(x-7)=0

x=7

As at x=7 the function is not defined.

The domain for the above inequality is

For each root we create a test,

For x<-3 it is true.

For -3<x<2 it is not true.

For it is true.

For 2<x<7 it is true.

The solution of the expression lies in

step-by-step explanation: