Solving Quadratic Inequalities (3.2.5)

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Presentation transcript:

Solving Quadratic Inequalities (3.2.5) December 22nd, 2016

Steps for Solving Quadratic Inequalities 1) Replace the inequality sign with an “equals” sign, then solve the equation by factoring or the quadratic formula (if factoring fails). 2) Draw a number line and place the solutions on it. 3) Test a number in each interval to check its sign. 4) Give the interval that satisfies the original inequality.

Ex. 1: Solve each quadratic inequality Ex. 1: Solve each quadratic inequality. Graph the solution(s), if any, on a number line. a) b) c)

Ex. 2: A dolphin’s height as it jumps out of the water is given by the equation , where t is the time, in seconds, and h(t) is the height of the dolphin, in feet. During what time interval is the dolphin (a) higher than 5 feet above water level (b) out of the water