Chapter 9.2, Problem 1PE

a. An inequality of the form $a{x}^2+bx+c>0$ or $a{x}^2+bx+c<0$ is an example of a _____________ inequality.

b. The boundary points of an inequality consist of the real __________ to the related equation and the points where the inequality is _______________.

c. In solving an inequality by using the ___________ __________ method, a point is selected from each interval formed by the boundary points and substituted into the original inequality.

d. If a test point makes the original inequality ______________, then that interval is part of the solution set.

e. The inequality $\frac{4}{x+7}>0$ is an example of a __________ inequality.

f. The solution set to a rational inequality must exclude all values that make the denominator equal to ______________ for any rational expression in the inequality.