 ## Tutoring on Solving Quadratic Inequalities

Learning Objectives:

#### Understand to Solve Quadratic Inequalities.

Math Tutoring on Solving Quadratic Inequalities

A second-degree polynomial function is known as Quadratic function. When these types of functions use inequality symbols which include the symbols known as less than <, greater than ˃, less than or equal to ≤, and greater than or equal to ≥, the expression is called Quadratic Inequality.

Guidelines for solving polynomial inequalities:

Step 1:   Find all of the 0s of the polynomial or in this case the quadratics and then arrange the 0s in increasing order. The zeros are called its critical number.

Step 2:  Plot the numbers on the number line as open or closed points based upon the original inequality symbol.

Step 3:  Choose a test value in each interval to see if it satisfies inequality or not.  If the test value produces a true statement, the entire interval is true and if the test value produces a false statement, the entire interval is false.

Step 4: From the information, we can clearly graph our solution and then state the solution using interval notation or inequalities.

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Hook Questions:

1.    What is the inequality in math?

2.    What is the definition of a quadratic function in math?

3.    What is Quadratic Inequality and how to solve it?

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