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Inequalities

Inequalities. Translate: Eight less than a number is at least 9 . Translate: Eight less than a number is at least 9 n – 8 > 9 . Translate: Five more than a number is at most 44 . Translate: Five more than a number is at most 44 n + 5 < 44. Translate:

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Inequalities

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  1. Inequalities

  2. Translate: Eight less than a number is at least 9

  3. Translate: Eight less than a number is at least 9 n – 8 > 9

  4. Translate: Five more than a number is at most 44

  5. Translate: Five more than a number is at most 44 n + 5 < 44

  6. Translate: After depositing $30, Amy had more than $300 in her savings account.

  7. Translate: After depositing $30, Amy had more than $300 in her savings account. x + 30 > 300

  8. Translate: After withdrawing $40, Erin had less than $ 10 in her savings.

  9. Translate: After withdrawing $40, Erin had less than $ 10 in her savings. X – 40 < 10

  10. Word Problem: Dylan works for “Dog Scoopers.” He charges $20 for each yard he cleans. Write and solve an inequality that can be used to find out how many lawns he must clean in a week to earn at least $ 200.

  11. Word Problem: Dylan works for “Dog Scoopers.” He charges $20 for each yard he cleans. Write and solve an inequality that can be used to find out how many lawns he must clean in a week to earn at least $ 200. X= number of lawns cleaned 20x>200 20 X > 10 Dylan needs to clean at least 10 lawns.

  12. Word Problem: Peachey designs planners for $10 a planner. Write and solve an inequality for the number of planners she must design to earn at least $144.

  13. Word Problem: Peachey designs planners for $10 a planner. Write and solve an inequality for the number of planners she must design to earn at least $144. X = number of planners designed 10 x>144 10 10 X > 14.4 Peachey must design at least 15 planners.

  14. Solve and Graph: -15 > t – 4

  15. Solve and Graph: -15 > t – 4 + 4 + 4 -11 > t t< -11 - 12 -11 -10

  16. Solve and Graph: 8p < - 40

  17. Solve and Graph: 8p<- 40 8 8 p < -5 - 6 -5 - 4

  18. Solve and Graph: x + 8 > 4x

  19. Solve and Graph: x + 8 > 4x - x - x 8>4 x 4 4 2 > x X < 2 1 2 3

  20. Solve and Graph: - 4z + 10 < -27 + z

  21. Solve and Graph: • 4z + 10 < -27 + z • + 4z + 4z • 10 < -27 + 5z • + 27 + 27 • 37 < 5z • 5 5 • 7.4 < z • Z > 7.4 7.3 7.4 7.5

  22. Solve and Graph: 4(2 – x) > 18

  23. Solve and Graph: 4(2 – x) > 18 8 – 4x > 18 - 8 -8 - 4x>10 -4 -4 x < -2.5 -2.6 - 2.5 -2.4

  24. Solve and Graph: c 2 + 5 > 8

  25. Solve and Graph: c 2 + 5 > 8 - 5 -5 (2)c 2 > 3 ( 2) c > 6 5 6 7

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