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Solving Quadratic Inequalities Algebraically

Learn how to solve quadratic inequalities algebraically by factoring, finding critical x-values, and testing regions on a number line. Practice solving inequalities and find solutions mathematically.

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Solving Quadratic Inequalities Algebraically

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  1. Solving Quadratic Inequalities Saturday, January 4, 2020 Essential Question: How do we solve quadratic inequalities algebraically? Lesson 3.9B

  2. To solve quadratic inequalities algebraically: Change the inequality symbol to = Get the equation =0 Factor Solve to get “critical x-values” Use a number line to test regions! State the solution

  3. 1 –2 Solve the quadratic inequality algebraically. 1. Find the x-intercepts . (x + 2)(x – 1)=0 x = –2 or x = 1 The solutions are x < –2 or x > 1 3

  4. Solve the quadratic inequality algebraically. 2. Find the x-intercepts. x2 – x – 12 = 0 (x + 3)(x – 4)=0 x = –3 or x = 4 The solutions are –3 < x < 4 4

  5. Solve the inequality algebraically 3.

  6. Solve the inequality algebraically 4. x < 1 x > 2

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