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Solving Inequalities: Multiplying and Dividing Techniques

This resource focuses on solving inequalities involving multiplication and division. Students will learn how to flip the inequality sign when multiplying or dividing by negative numbers and how to move variables across the inequality sign. The material includes standard examples and exercises to practice multi-step inequalities and reinforce the concept that the sign must flip under certain conditions. By the end of the lesson, students should be confident in solving and graphing inequalities. Homework and review exercises are also provided.

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Solving Inequalities: Multiplying and Dividing Techniques

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  1. Warm ups Solve for x. • 3 + x < 12 • 23 > x – 15 • 2x – 10 > x + 6 • -3.4 > 0.9 – p • -3 + x > 2x – 4 • . • x < 9 • x < 38 • x > 16 • p > 4.3 • x < 1 • x = 27

  2. 7-2 Solving Inequalities Using Multiplication and Division Objective: To solve inequalities by multiplying and dividing. Standard 5.0

  3. Flip Inequality sign when: • You need to move the letter (variable) to the left 3 < x -5 > p • You multiply or divide by a negative number -2x > 4

  4. Examples – solve and graph • 3w > 27 3 3 w > 9 • x < 3 12 2 x < 18 6 (12) (12)

  5. Examples – solve and graph • -4x < -3 -4 -4 x > 3/4 • 18 < -3m 4 -24 > m m < -24 Divide by a negative – FLIP! 6 -4 3 -4 3 Multiply by a negative – FLIP! Move letter to left – FLIP!

  6. TOO – watch the flip!

  7. Multi-step inequalities • 3n + 4 > -14 -4 -4 3n > -18 3 3 n > - 6

  8. Homework • Pg. 396 # 21-43 ODD

  9. 7-1 – 7-2 Review Math Lab. Standard 5.0

  10. Flip Inequality sign when: • You need to move the letter (variable) to the left 3 < x -5 > p • You multiply or divide by a negative number -2x > 4

  11. 7-1 Review

  12. 7-2 Review

  13. 7-3 Preview/Review

  14. 7-3 Preview/Review

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