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Inequalities

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Introduction to inequalities

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Inequalities

1. 1. Inequalities and their Graphs x>5 x>5 2 3 4 5 6 7 8
2. 2. Inequalities and their GraphsObjective: To write andgraph simple inequalities withone variable
3. 3. Inequalities and their Graphs What is a good definition for Inequality?An inequality is a statement thattwo expressions are not equal 2 3 4 5 6 7 8
4. 4. Inequalities and their GraphsTerms you see and need to knowto graph inequalities correctly< less than Notice open> greater than circles
5. 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. 6. Inequalities and their GraphsLet’s work a few together Notice: when variable is on left side, sign showsx >3 direction of solution 3
7. 7. Inequalities and their GraphsLet’s work a few together Notice: when variable isx<7 on left side, sign shows direction of solution 7
8. 8. Inequalities and their GraphsLet’s work a few together Notice: when variable isp ≤ −2 on left side, sign shows direction of solution -2 Color in circle
9. 9. Inequalities and their GraphsLet’s work a few together Notice: when variable isx≥8 on left side, sign shows direction of solution 8Color in circle
10. 10. Try this one on your own x > 12
11. 11. 12
12. 12. On your Owns < 12
13. 13. 12
14. 14. On your Ownm≥2
15. 15. 2
16. 16. Answer 1 through 5 b ≤ −61.
17. 17. On your Own x > 102.
18. 18. On your Own p > − 153.
19. 19. On your Own g ≥ 254.
20. 20. On your Own x < 135.
21. 21. Answers: 1 through 51. 2. -6 103. 4. -15 25 5. 13
22. 22. Answer 6 through 10 b ≤ -76.
23. 23. On your Own a>87.
24. 24. On your Own q ≥ -58.
25. 25. On your Own s < 149.
26. 26. On your Own m≥810.
27. 27. Answers: 6 through 106. 7. -7 88. 9. -5 14 10. 8
28. 28. GraphingInequalitiesExcellent Job !!! Well Done