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Inequalities

Learn the differences between equations and inequalities and explore how to solve them. Practice writing and interpreting inequalities, and discover solutions to various examples. Suitable for mathematics students of all levels.

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Inequalities

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  1. Inequalities and their solutions

  2. How are equations and inequalities different? Equations Inequalities 6 = x+7 6 > x+7 12x = 6 12x < 6 18 = x-23 18 > x-23 90+x=17 90+x<17

  3. How are equations and inequalities different? • Hannah needs 8 candy bars for each gift basket. She has 15 gift baskets. • Hannah needs at least 8 candy bars for each gift basket. She has 15 gift baskets.

  4. Equation OR Inequality? • Katie has more money than Alyiah • Katie has $5

  5. Inequality signs • less than < • less than or equal to < • greater than > • greater than or equal to >

  6. Write this inequality • x is less than 15

  7. Write this inequality • x is greater than 5

  8. Write this inequality • w is less than or equal to 20

  9. Write this inequality • p is greater than or equal to 1

  10. Write this inequality • 16 is less than or equal to h

  11. Write this inequality • 12 is greater than b

  12. Write this inequality • 3 is greater than or equal to x

  13. Write this inequality • 25 is less than c

  14. Write this inequality • 18 is less than three times x

  15. Write this inequality • The sum of x and 8 is greater than or equal to 7

  16. Write this inequality • 15 is less than or equal to 12 more than x

  17. Write this inequality • x is greater than 20

  18. Write this inequality • three times z is less than 8

  19. How do you SAY this inequality? • x>5

  20. How do you SAY this inequality? • x>12

  21. How do you SAY this inequality? • 15<x

  22. How do you SAY this inequality? • w<200

  23. How do you SAY this inequality? • 15>x-6

  24. How do you SAY this inequality? • 12>x

  25. How do you SAY this inequality? • w<18

  26. How do you SAY this inequality? • 1.6<x

  27. Solutions

  28. List some numbers that make this true • d>6

  29. List some numbers that make this true • k<10

  30. List some numbers that make this true • 21>p

  31. List some numbers that make this true • r<1.5

  32. List some numbers that make this true • 72< f

  33. Is 10 a solution to this inequality? • 15<12-x

  34. Is 2 a solution to this inequality? • 7x>5

  35. Is 8 a solution to this inequality? • 5x>40

  36. Is 6 a solution to this inequality? • 54+x<22

  37. Is 3 a solution to this inequality? • 7x<21

  38. Is 15 a solution to this inequality? • 10>5+x

  39. Is 7 a solution to this inequality? • 42>40+7

  40. Is 5 a solution to this inequality? • 27<22-x

  41. 18 < 5x • Which of these numbers are solutions to this inequality 0, 2, 4, 10

  42. w – 7 > 15 • Which of these numbers are solutions to this inequality 8, 22, 20, 15

  43. 7x < 26 • Which of these numbers are solutions to this inequality 10, 2, 4, 5

  44. 1.6 > x - 12 • Which of these numbers are solutions to this inequality 12, 20, 14, 13

  45. 90 > 8b • Which of these numbers are solutions to this inequality 10, 1, 8, 90

  46. Write an inequality • You must be at least 48 inches tall to ride The Rocking Roller Coaster at Hollywood Studios

  47. Write an inequality • Only children under 12 can eat off the children’s menu

  48. Write an inequality • The most people that can fit in a tea cup is 5

  49. Write an inequality • Senior citizens are 55 years or older

  50. Write an inequality • The speed limit on Interstate 16 is 70 miles per hour

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