Quadratic inequalities in one variable are inequalities which can be written in one of the following forms. Simplify and factor the quadratic expression.
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Graphing quadratic inequalities worksheet pdf. To solve ax 2 bx c 0 or ax bx c 0 graph y ax bx cand identify the x values for which the. Solve each quadratic inequality. 6 x 5 0 x.
12 x 32 0 x. 1 x2 x 20 0 2 x2 3x 54 0 3 2x 25x 14 0 4 2x 4x 30 0 5 23×2 6x 9 0 6 2x. Y ax2 bx c y ax2 bx c y ax2 bx c y ax2 bx c the graph of any such inequality consists of all solutions x y of the inequality.
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Solving quadratic inequalities algebraically worksheet name solve the following quadratic inequalities algebraically. Page 1 of 2 5 7 graphing and solving quadratic inequalities 301 quadratic inequalities in one variable one way to solve a is to use a graph. Solving quadratic inequalities l3s1 2.
Ax2 bx c 0 2ax bx c 0 2ax bx c 0 or 2ax bx c 0 where a b and c are real numbers. 11 3 2. 6 9 4 2 3 4 5 5 4 3 2 1 1 1 1 2 3 4 5 5 4 3 2 5 4.
To solve ax 2 bx c 0 or ax bx c 0 graph y ax bx cand identify the x values for which the graph lies below or on and below the x axis. Graphing quadratic inequalities in two variables a quadratic inequality in two variables can be written in one of the following forms where a b and c are real numbers and a 0. 1 y x x y.
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2 x 3 0 x. Find the roots. Move all terms to one side.
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