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Inequality Statements

Inequality Statements. “<“ looks like an alligator’s open mouth. The wider part of the opening points toward the larger number. 8>2 X<3 You cannot list them all because they are infinite but you can show them on a graph. . 8 is greater than 2

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Inequality Statements

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  1. Inequality Statements

  2. “<“ looks like an alligator’s open mouth. The wider part of the opening points toward the larger number.

  3. 8>2 X<3 You cannot list them all because they are infinite but you can show them on a graph. 8 is greater than 2 The set of all numbers that make x less than 3 Example……

  4. Example…… • X<3 would be graphed like this:

  5. “OPEN Circle” – means the number is NOT part of the solution. “CLOSEDCircle” = means the number IS part of the solution.

  6. Order of the inequalities…… • 8>-4 means the same as -4<8. • Keep the big mouth pointing toward the same number on either side.

  7. Example…...

  8. Graph:

  9. Graph:

  10. Graph:

  11. Graph:

  12. So what if I took an inequality such as 4 < 8 and added 3 to each side….

  13. So what if I took an inequality such as 4 < 8 and added -5 to each side….

  14. Addition Property of Inequalities • If the same number is added to each side of a true inequality, the resulting inequality is also true. • 1. If a > b, then a + c > b + c • 2. If a < b, then a + c < b + c

  15. Solve:

  16. Solve:

  17. Solve:

  18. Set-Builder Notation • {x | x > 3}

  19. Solve:

  20. Solve:

  21. Solve:

  22. Phrases for Inequalities • (<) Less than or fewer than • (>) Greater than or More than • ( at most, no more than, less than or equal to • () at least, no less than, greater than or equal to

  23. Jill has $85 to spend. She went to the store and bought a shirt for $35 and a belt for $18. If she wants to buy a necklace , how much can she spend?

  24. Twice a number increased by 4 is at least 10 more than the number.

  25. Homework • Worksheet

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