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Warmups Translate: The product of 7 and m is at most 10 Solve and graph each inequality:

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7-4 Compound Inequalities Objective: To solve and graph “or” inequalities

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Compound Inequality More than one “and”“or” today Example 1:x > 2 or x < -4 Graph on the same number line: These answers or

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Example 2 Graph x 6

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TOO 1. x 4 2. x > 5 or x < 0 3. x > -5 or x < -7

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Write your own… Write a compound inequality for each solution set shown below: 3. 4. -23 0 05

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What about… 5. x -3 6. x > 3 or 4 < x 7. x – 2 8 “All numbers”

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TOO – Solve and graph 8. 4x – 5 > 7 or 4x – 5 < -9 9. -1 + x < 3 or –x < -4 10. 3n + 11 5n - 12 x > 3 or x < -1 All numbers n < 4

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AND vs. OR ANDOR “and” or no wordMust say “or” Both trueOne or more true Special case: No solutionSpecial case: All numbers

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Homework Pg. 410 # 26, 27, 28, 31, 33, 37, 38, 40, 41, 42

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Math Lab Inequalities Review Tic Tac Toe

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AND vs. OR ANDOR “and” or no wordMust say “or” Both trueOne or more true Special case: No solutionSpecial case: All numbers

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Translate The difference of x and 3 is more than 7. The product of 3 and y is at least 10. A number decreased by 5 is at least 13. Twice a number is less than or equal to the number increased by 3 A number decreased by 8 is at most 1.

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Solve and graph No solution

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Solve and graph or 1 0

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Solve and graph and x<1 1

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Solve and graph y > -1 and y < 3 3

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Solve and graph or All numbers

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Solve and graph Write a compound inequality for each solution set shown below: 3. -36 0

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Solve and graph Write a compound inequality for each solution set shown below: 05

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Solve each inequality.

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Determine Value of r.

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