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# Verbal Expressions for =

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

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## Verbal Expressions for =

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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 > <

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