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Essential Question

Essential Question. How to you solve inequalities using addition, subtraction, multiplication, and division?. What is an inequality? . Statement with greater than (>) Less than (<) Greater than or equal to ( ≥) Less than or equal to (≤). Words that mean an inequality.

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Essential Question

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  1. Essential Question • How to you solve inequalities using addition, subtraction, multiplication, and division?

  2. What is an inequality? • Statement with • greater than (>) • Less than (<) • Greater than or equal to (≥) • Less than or equal to (≤)

  3. Words that mean an inequality

  4. Example 1: Translate • A. A number is smaller than 3 • B. A number is no more than 7 • C. A number is at least -2 • D. A number is more than 2

  5. Example 1 conitnued • E. A number is fewer than 2 • F. A number is no less than 7 • G. A number is at most -2

  6. <, > Open Circle ≤, ≥ Closed Circle X< or X ≤ Shade left X > or X ≥ Shade Right To graph an inequality

  7. Example 2: Solve and graph on a number line

  8. The sum of a number is at least 27. 5 less than a number is greater than 20. Example 2 continued

  9. Something Special about inequalities • When you multiply or divided by a negative ….Flip the sign!

  10. Example 3: Solve

  11. The steps for solving multi-step inequalities are exactly the same as solving equations. EXCEPT, when dividing or multiplying both sides of an inequality by a negative number, you must flip the inequality sign. Solving Multi-Step Inequalities

  12. Example 4:

  13. Example 4 Continued

  14. Example 4 Continued

  15. Answering Essential Question • How to you solve inequalities using addition, subtraction, multiplication, and division?

  16. Homework • 6-3 #3-14 all

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