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Introduction to Solving Inequalities

Introduction to Solving Inequalities. Objective: Write, solve, and graph linear inequalities in one variable. Example 1. Example 1. Example 2. Example 2. Example 2. Try This. Solve 5 – 7t > 8 – 4t . Graph the solution on a number line. Try This.

brennan-saunders
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Introduction to Solving Inequalities

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  1. Introduction to Solving Inequalities Objective: Write, solve, and graph linear inequalities in one variable.

  2. Example 1

  3. Example 1

  4. Example 2

  5. Example 2

  6. Example 2

  7. Try This • Solve 5 – 7t > 8 – 4t. Graph the solution on a number line.

  8. Try This • Solve 5 – 7t > 8 – 4t. Graph the solution on a number line. • Add 4t to both sides. • Subt. 5 from both sides. • Divide by -3, change the inequality sign.

  9. Try This • Solve 5 – 7t > 8 – 4t. Graph the solution on a number line. • Add 4t to both sides. • Subt. 5 from both sides. • Divide by -3, change the inequality sign. • Graph.

  10. Example 3

  11. Example 3

  12. Example 3

  13. Example 4 • When solving an inequality involving the word and, you need to find the values of the variable that satisfy both inequalities. Usually your answer will be in between two numbers. We will see this in example 4.

  14. Example 4

  15. Example 4

  16. Example 4

  17. Try This • Solve the following inequality. Graph the solution.

  18. Try This • Solve the following inequality. Graph the solution.

  19. Example 5 • When solving an inequality involving the word or, you need to find those values of the variable that satisfy at least one of the inequalities. In other words, one or the other. Usually, the answer is the two extremes. This is shown in example 5.

  20. Example 5

  21. Example 5

  22. Example 5

  23. Try This • Solve the following inequality. Graph the solution.

  24. Try This • Solve the following inequality. Graph the solution.

  25. Homework • Pages 58-59 • 11-55 odd

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