1 / 23

Verbal Expressions for =

Verbal Expressions for =. WRITING INEQUALITIES. Verbal expressions that suggest an inequality. >. IS MORE THAN. <. IS LESS THAN. >. IS AT LEAST. <. IS AT MOST. <. IS LESS THAN OR EQUAL TO. >. IS GREATER THAN OR EQUAL TO. Writing equations #1. WRITING INEQUALITIES.

jules
Download Presentation

Verbal Expressions for =

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Verbal Expressions for = WRITING INEQUALITIES Verbal expressions that suggest an inequality. > IS MORE THAN < IS LESS THAN > IS AT LEAST < IS AT MOST < IS LESS THAN OR EQUAL TO > IS GREATER THAN OR EQUAL TO

  2. Writing equations #1 WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is greater than five. x

  3. Writing equations #2 WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is greater than five. x >

  4. Writing equations #3 WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is greater than five. x > 5

  5. Writing equations #1 WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is at least twelve. x

  6. Writing equations #2 WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is at least twelve. x >

  7. Writing equations #3 WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is at least twelve. x > 12

  8. Writing equations #3 WRITING INEQUALITIES Verbal expressions that suggest an inequality. Two less than a number is less than three. – 2

  9. Writing equations #3 WRITING INEQUALITIES Verbal expressions that suggest an inequality. Two less than a number is less than three. x – 2

  10. Writing equations #3 WRITING INEQUALITIES Verbal expressions that suggest an inequality. Two less than a number is less than three. x – 2 <

  11. Writing equations #3 WRITING INEQUALITIES Verbal expressions that suggest an inequality. Two less than a number is less than three. x – 2 < 3

  12. Writing equations #3 WRITING INEQUALITIES Verbal expressions that suggest an inequality. TRY THESE The sum of eight and a number is at least six. 8 + x > 6

  13. Writing equations #3 WRITING INEQUALITIES Verbal expressions that suggest an inequality. TRY THESE The product of seven and a number is less than or equal to three less than twice the number. 7x < 2x - 3

  14. Addition Property of Equality SOLVING INEQUALITIES Using Addition and Subtraction ADDITION PROPERTY OF INEQUALITY For any numbers a, b, and c, if a > b, then a + c > b + c 25 > 20 25 + 5 > 20 + 5 30 > 25

  15. Solving Equations (Sample 1) SOLVING INEQUALITIES Using Addition and Subtraction SAMPLE PROBLEMS Solve & Graph: x – 3 > 7 +3 +3 x > 10 Check: 10 – 3 = 7 True Check 2: 11 – 3 > 7 True 10 0

  16. Solving Equations (Sample 2) SOLVING INEQUALITIES Using Addition and Subtraction SAMPLE PROBLEMS Solve & Graph: x + 6 < 2 -6 -6 x < -4 Check: -4 + 6 = 2 True Check 2: -5 + 6 < 2 True 0 - 4

  17. Solving Equations (Sample 3) SOLVING INEQUALITIES Using Addition and Subtraction SAMPLE PROBLEMS Solve & Graph: 11 + x > -5 -11 -11 x > -16 Check: 11 + (-16) = -5 True Check 2: 11 + (-15) > -5 True 0 -16

  18. Solving Equations (Sample 4) SOLVING INEQUALITIES Using Addition and Subtraction SAMPLE PROBLEMS Solve: 55 – x > 70 -55 -55 -x > 15 NOTE: sign stays with x  Change signs x > -15 Check: 55 – (-15) = 70 True Check 2: 55 – (-14) > 70 False… WHY?

  19. Addition Property of Equality SOLVING INEQUALITIES Using Multiplication and Division MULTIPLICATION PROPERTY OF INEQUALITY For any numbers a, b, and c > 0, if a > b, then ac > bc 25 > 20 25(5) > 20(5) 125 > 100

  20. Addition Property of Equality SOLVING INEQUALITIES Using Multiplication and Division MULTIPLICATION PROPERTY OF INEQUALITY For any numbers a, b, and c < 0, if a > b, then ac < bc 25 > 20 25(-2) > 20(-2) Ding!! > -50 -40

  21. SOLVING INEQUALITIES Using Multiplication and Division Just like solving equations, except… …when multiplying or dividing by a negative. SOLVE: -3x > 6 Ding!! -3 -3 x < -2

  22. SOLVING INEQUALITIES Using Multiplication and Division Just like solving equations, except… …when multiplying or dividing by a negative. SOLVE: (-2) (-2) Ding!! x < 12

  23. SOLVING INEQUALITIES Using Multiplication and Division Just like solving equations, except… …when multiplying or dividing by a negative. SOLVE: 3x – 12 > 5x + 4 -5x -5x -2x – 12 > 4 +12 +12 -2x > 16 -2 -2 Ding!! x -8 > <

More Related