Question

Explaining how to solve rational inequalities
question inside~~

Answer 1

I need to check the factors sign value and write the solution - i figured the x intercept is -8 and the y intercept is 7

Answer 2

the equation is x+8/x-7 >0

Answer 3

Was my answer wrong?

Answer 4

First thing say "x doesn't equal 7" now you can multiply both sides by (x-7) and to divide it into 2 cases (i) x-7 > 0 (ii) x-7<0
you are left with (i) x+8 > 0 (ii) x+8 < 0
threfor (i) gives you x > -8 together with x>7 , combined you get x>7
(ii) gives you x < -8 combined with x<7 gives you x<-8
the full answer is x<-8 or x>7