Answer :

To solve a polynomial inequality, it is required to first change the inequality sign to an equal sign and then solve the resulting equation.

The given inequality is:

[tex]x^2+9x+8>0[/tex]

Change the inequality sign to the equal sign to get the resulting equation to solve for:

[tex]x^2+9x+8=0[/tex]

The graph of this equation forms the boundary curve of the solution region in the cartesian plane.

Hence, the real solutions of this equation are called the boundary points.

Answers:

x²+9x+8=0

The real solutions of the equation are called boundary points.