Question

Solve the polynomial inequation and graph the solution set on a number line. Express the solution in interval notation.

Answer 1

Solving a polynomial inequation

Solving the following inequation:

(x - 8) (x + 1) > 0

We are going to find the sign both parts of the multiplication,

(x - 8) and (x + 1), have when

x < - 8

-8 < x < 1

1 < x

Then we know (x - 8) (x + 1) > 0 whenever (x - 8) (x + 1) is positive

We can see in the figure (x - 8) (x + 1) is positive when x < -8 and x > 1

Then

Answer:B