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Final Exam Review of Inequalities

Final Exam Review of Inequalities. Translate the following statements into inequalities. Six less than double a number is less than 18. 2x – 6 < 18. Eight more than five times a number is greater than or equal to 48. 8 + 5x ≥ 48. Solving and Graphing Inequalities.

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Final Exam Review of Inequalities

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  1. Final Exam Reviewof Inequalities

  2. Translate the following statements into inequalities. • Six less than double a number is less than 18. 2x – 6 < 18 • Eight more than five times a number is greater than or equal to 48. 8 + 5x ≥ 48

  3. Solving and Graphing Inequalities • Solving inequalities is similar to solving equations, except…. • When you multiply or divide by a negative number, you have to change the direction of the inequality sign!

  4. Solve and graph the following inequality. 3x + 8 > - 4 - 8 - 8 3x > -12 3 3 x > -4 -6 -5 -4 -3 -2 Remember! An open circle is used to graph > and <. Check: @ x = -3 3x + 8 > -4 3(-3) + 8 > -4 -9 + 8 > -4 -1 > -4

  5. Solve and graph the following inequality. -7x - 3 ≥ 11 + 3 + 3 -7x ≥ 14 -7 -7 x ≤ -2 -4 -3 -2 -1 0 A closed circle is used to graph ≥ and ≤. Check: @ x = -4 -7x - 3 ≥ 11 -7(-4) – 3 ≥ 11 28 - 3 ≥ 11 25 ≥ 11 Important! Change the direction of the inequality sign if you multiply or divide both sides by a negative.

  6. Solve and graph the following inequality. - 9 < -3(2x – 5) - 9 < -6x + 15 -15 - 15 -24 < -6x -6 -6 4 > x x < 4 2 3 4 5 6 Check: @ x = 3 -9 < -3(2x – 5) -9 < -3(2*3 – 5) -9 < -3(6 - 5) -9 < -3(1) -9 < -3 The direction of the inequality sign changes since you divide by -6.

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