This document contains notes from a math class on solving inequalities involving multiplication and division. It includes examples of multiplying or dividing inequalities by negative numbers, with the conclusion that this flips the inequality sign. The rest of the document provides practice problems solving various inequalities algebraically and graphing their solutions, with checks provided. It concludes by assigning related homework problems.

1. AIM: Solving Inequalites
involving Multiplication
and Division Do Now
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2. Homework: Pages 580-581 #8-13 all, 20, 21, 41
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3. Anticipatory Set
Multiplying or Dividing an Inequality BY a Negative Number
Simplify each expression in your notes and fill in the blank with < or >.
6 ÷ 2 ______ 12 ÷ 2
6 ÷ 1 ______ 12 ÷ 1
6 ÷ (-1) _______ 12 ÷ (-1)
6 ÷ (-2) _______ 12 ÷ (-2)
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4. Anticipatory Set
Multiplying or Dividing an Inequality BY a Negative Number
Simplify each expression in your notes and fill in the blank with < or >.
6 2 ______ 12 2
6 1 ______ 12 1
6 (-1) _______ 12 (-1)
6 (-2) _______ 12 (-2)
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5. Anticipatory Set
Multiplying or Dividing an Inequality BY a Negative Number
CONCLUSION: Explain what you noticed
when you divided or multiplied an inequality
by a negative number.
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6. A.) Solve the following inequality:
-4x > 48 CHECK
Graph the solution set.
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7. B.) Solve the following inequality:
3x < -21 CHECK
Graph the solution set.
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8. C.) Solve the following inequality:
CHECK
x
≤ 6
-4
Graph the solution set.
8

9. D.) Solve the following inequality:
CHECK
x
≥ -4
5
Graph the solution set.
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10. E.) Solve the following inequality:
x+4>2 CHECK
Graph the solution set.
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11. F.) Solve the following inequality:
x - 5 ≤ -3 CHECK
Graph the solution set.
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12. G.) Solve the following inequality:
2+m≥2 CHECK
Graph the solution set.
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13. Before You Leave
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14. Mr. Tjersland's Math 7
Homework: Pages 584-585 #9, 10, 11, 16, 17, 19, 20, 41-44 all
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15. AIM: Solving Inequalites
involving Multiplication
and Division
BIG IDEA
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16. Attachments
Class Notes 10­23­06.doc