 ## Tutoring on Solving Polynomial Inequality

Learning Objectives:

#### Understand to Solve Polynomial

Math Tutoring on Solving Polynomial Inequality

Polynomial inequalities are inequalities expressed with a polynomial on one side of the inequality symbol and zero on the other side. For solving polynomial inequalities, we need to follow the steps below:

Step 1. We have to manipulate the inequality so that we have a polynomial on one side of the inequality symbol and zero on the other side.

Step 2. Then replace the inequality symbol with an equal symbol and solve the equation.

Step 3. Next, we plot the solution from step two on a number line.

Step 4.  Now we take a test value from each of the intervals, but we have to make sure they are not equal to the endpoints of the intervals. Then we have to plug the test values into the original inequality.

Step 5.  After substitution, if the test value gives a true statement, then the interval from which it came is the solution. On the other hand, if the test value leads to a false statement, then the interval from which it came is not the solution.

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Hook Questions:

1. What is a polynomial inequality?

2. What is a rational inequality?

3. How do you solve a polynomial equation?

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