Quadratic and Rational Inequalities

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Rational Inequalities

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Presentation transcript:

Quadratic and Rational Inequalities

Solving Quadratic Inequalities Step 1: write the inequality in standard form. Step 2: solve the related quadratic equation. Step 3: locate the boundary points on a number line. Step 4: construct a sign chart. Step 5: the solution set is the interval that produced a true statement.

Example 1: Solve a Quadratic Inequality

Take a test point within each interval and check the sign. Test Interval Test Point X+1 X-3 (x+1)(x-3)

Practice Exercises (except 1)

Solving Rational Inequalities

Example 2:

Intervals Test Points X+5 X-2

Practice Exercises