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Inequalities and Graphs for Effective Solutions

Learn to write and graph simple inequalities with one variable, recognizing key terms, symbols, and directions for solution. Practice graphing inequalities correctly to master the concepts effectively.

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Inequalities and Graphs for Effective Solutions

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  1. Inequalities and their Graphs 2 3 4 5 6 7 8

  2. Inequalities and their Graphs Objective: To write and graph simple inequalities with one variable

  3. Inequalities and their Graphs What is a good definition for Inequality? An inequality is a statement that two expressions are not equal 2 3 4 5 6 7 8

  4. Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly < less than Notice open circles > greater than

  5. Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly ≤ less than or equal to ≥ greater than or equal to Notice colored in circles

  6. Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution 3

  7. Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution 7

  8. Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution Color in circle -2

  9. Inequalities and their Graphs Let’s work a few together Notice: when variable is on left side, sign shows direction of solution 8 Color in circle

  10. Try this one on your own

  11. 12

  12. On your Own

  13. 12

  14. On your Own

  15. 2

  16. Answer 1 through 5 1.

  17. On your Own 2.

  18. On your Own 3.

  19. On your Own 4.

  20. On your Own 5.

  21. Answers: 1 through 5 1. 2. 3. 4. 5. 10 -6 25 -15 13

  22. Answer 6 through 10 6. b ≤ -7

  23. On your Own 7. a > 8

  24. On your Own 8. q ≥ -5

  25. On your Own 9. s < 14

  26. On your Own 10. m ≥ 8

  27. Answers: 6 through 10 6. 7. 8. 9. 10. -7 8 -5 14 8

  28. Graphing Inequalities Excellent Job !!! Well Done

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