Inequalities powerpoint
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This document provides an introduction to graphing simple inequalities with one variable. It defines an inequality as a statement that two expressions are not equal. It explains the symbols used in inequalities like <, >, ≤, ≥ and how to graph them correctly by using open or closed circles depending on if it is a < or ≤. Examples are provided of graphing different inequalities like x > 3, x < 7, p ≤ -2, and having the reader practice graphing their own inequalities.
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Here are the steps to solve each inequality and graph the solution:
1) m + 14 < 4
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m < -10
Graph: m < -10
2) -7 > y-1
+1 +1
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y < -6
Graph: y < -6
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Graph: k > -30
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x ≤ -4
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Inequalities powerpoint
- 1. Inequalities and their Graphs x>5 x>5 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 > greater than Notice open circles
- 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 x >3 Notice: when variable is on left side, sign shows direction of solution 3
- 7. Inequalities and their Graphs Let’s work a few together x<7 Notice: when variable is on left side, sign shows direction of solution 7
- 8. Inequalities and their Graphs Let’s work a few together p ≤ −2 Notice: when variable is on left side, sign shows direction of solution -2 Color in circle
- 9. Inequalities and their Graphs Let’s work a few together x≥8 Color in circle Notice: when variable is on left side, sign shows direction of solution 8
- 10. Try this one on your own x > 12
- 11. 12
- 12. On your Own s < 12
- 13. 12
- 15. 2
- 16. Answer 1 through 5 1. b ≤ −6
- 17. On your Own 2. x > 10
- 18. On your Own 3. p > − 15
- 19. On your Own 4. g ≥ 25
- 20. On your Own 5. x < 13
- 21. Answers: 1 through 5 1. 2. 10 -6 3. 4. 25 -15 5. 13
- 22. Answer 6 through 10 6. b ≤ -7
- 24. On your Own 8. q ≥ -5
- 25. On your Own 9. s < 14
- 27. Answers: 6 through 10 6. 7. -7 8. 8 9. -5 14 10. 8
- 28. Graphing Inequalities Excellent Job !!! Well Done