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Inequalities and their Graphs

Inequalities and their Graphs. 2. 3. 4. 5. 6. 7. 8. Symbols. How to graph the solutions when the variable is on the left. > Graph any number greater than. . . open circle, line to the right < Graph any number less than . . . open circle, line to the left

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Inequalities and their Graphs

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

  2. Symbols

  3. How to graph the solutions when the variable is on the left > Graph any number greater than. . . open circle, line to the right < Graph any number less than. . . open circle, line to the left Graph any number greater than or equal to. . . closed circle, line to the right Graph any number less than or equal to. . . closed circle, line to the left

  4. Inequalities and their Graphs Notice: when variable is on left side, sign shows direction of solution 3

  5. Inequalities and their Graphs Notice: when variable is on left side, sign shows direction of solution 7

  6. Inequalities and their Graphs Notice: when variable is on left side, sign shows direction of solution Color in circle -2

  7. Inequalities and their Graphs Notice: when variable is on left side, sign shows direction of solution 8 Color in circle

  8. -5 -4 -3 -2 -1 0 1 2 3 4 5 Solutions…. You can have a range of answers…… A. All numbers less than 5 B. All numbers that are 5 or less C. All numbers that are 5 or greater D. All numbers that are greater than 5 A. X > 5 B. X ≥ 5 C. X < 5 D. X ≤ 5

  9. -5 -4 -3 -2 -1 0 1 2 3 4 5 Solutions continued… A. All numbers less than -1 B. All numbers that are -1 or less C. All numbers that are -1 or greater D. All numbers that are greater than -1 A. X > -1 B. X ≥ -1 C. X < -1 D. X ≤ -1

  10. -5 -4 -3 -2 -1 0 1 2 3 4 5 Solutions continued…. A. All numbers less than 1 B. All numbers that are 1 or less C. All numbers that are 1 or greater D. All numbers that are greater than 1 A. X > 1 B. X ≥ 1 C. X < 1 D. X ≤ 1

  11. -5 -4 -3 -2 -1 0 1 2 3 4 5 Solutions continued… A. All numbers less than -3 B. All numbers that are -3 or less C. All numbers that are -3 or greater D. All numbers that are greater than -3 A. X > -3 B. X ≥ -3 C. X < -3 D. X ≤ -3

  12. X < 2 The open circle tells us that 2 is not included The arrow tells us that everything to the left of 2 is included Could 3 be a solution? Could 0 be a solution? No yes

  13. X ≤ 2 The closed circle tells us that 2 is included. The arrow tells us that everything to the left of 2 is also included. Could 2 be a solution? Could 3 be a solution? Yes No

  14. Write an inequality for the above graph. X ≤-3 Say the inequality in your own words. X is less than or equal to -3

  15. Write an inequality for the above graph. X > 5 Say the inequality in your own words. X is greater than 5

  16. You must be at least 42 inches tall to ride the bumper cars. Write the inequality with h standing for height h ≥ 42

  17. Children under 12 can enter the museum at no charge. Write the inequality x < 12 If you are 12 can you get in free? If you are 5 can you get in free? no yes If you are 11 can you get in free? yes

  18. To vote in the United States, a person must be 18 years old or older. Write the inequality x ≥ 18 Can you vote at 17 years? no Can you vote at 95 years? yes Can you vote at 18 years? yes

  19. Practice: Worksheet

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