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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.

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## Verbal Expressions for =

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**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 Verbal expressions that suggest an inequality. A number is greater than five. x**Writing equations #2**WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is greater than five. x >**Writing equations #3**WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is greater than five. x > 5**Writing equations #1**WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is at least twelve. x**Writing equations #2**WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is at least twelve. x >**Writing equations #3**WRITING INEQUALITIES Verbal expressions that suggest an inequality. A number is at least twelve. x > 12**Writing equations #3**WRITING INEQUALITIES Verbal expressions that suggest an inequality. Two less than a number is less than three. – 2**Writing equations #3**WRITING INEQUALITIES Verbal expressions that suggest an inequality. Two less than a number is less than three. x – 2**Writing equations #3**WRITING INEQUALITIES Verbal expressions that suggest an inequality. Two less than a number is less than three. x – 2 <**Writing equations #3**WRITING INEQUALITIES Verbal expressions that suggest an inequality. Two less than a number is less than three. x – 2 < 3**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**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**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**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**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**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**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?**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**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**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**SOLVING INEQUALITIES**Using Multiplication and Division Just like solving equations, except… …when multiplying or dividing by a negative. SOLVE: (-2) (-2) Ding!! x < 12**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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