Question

a. When solving a polynomial inequality by hand, the solutions of the associated equation are called the______ numbers. These numbers divide up the number line into regions that contain or do not contain_____of the inequality.
b. When solving a rational inequality by hand, the solutions of the associated equation as well as values that make the________ of the rational expression zero are called the________ numbers. The restriction of a rational expression is________ included in the solution set.

Answer 1

Answer:

Critical or Key numbers

the intervals which satisfy the inequality

b) fraction on the right-hand side.

Critical

that the denominator can not be equal to zero

Step-by-step explanation:

When solving a polynomial inequality by hand, the solutions of the associated equation are called the Critical or Key numbers. These numbers divide up the number line into regions that contain or do not contain the intervals which satisfy the inequality.

b. When solving a rational inequality by hand, the solutions of the associated equation as well as values that make the fraction on the right-hand side of the rational expression zero are called the Critical numbers. The restriction of a rational expression is that the denominator can not be equal to zero included (Undefined)included in the solution set.

Answer 2

Answer: A. boundary, solutions B. denominator, boundary, not

           

Step-by-step explanation:

A. When solving a polynomial inequality by hand, the solutions of the associated equation are called the boundary numbers. These numbers divide up the number line into regions that contain or do not contain solutions of the inequality.

B. When solving a rational inequality by hand, the solutions of the associated equation as well as values that make the denominator of the rational expression zero are called the boundary numbers. The restriction of a rational expression is not included in the solution set.

This is the correct (Tophat) version