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Published byMadalyn Rutland Modified over 3 years ago

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OPEN SENTENCE: A math statement with one or more variables. EQUATION: A math statement that has an equal (=) sign. REPLACEMENT SET: A set of numbers that can be substituted for a variable. ELEMENT: An individual number in a set SOLUTION SET: Set of elements that make a true statement

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Solve the inequality 18 – y < 10 using the replacement set {8,9,10,11,12} Step 1 Set up table Step 2 Substitute replacement set in for y and solve Step 3 All true values are part of the solution set Y18 – y < 10T/F 8 9 10 11 12 18 – 8 = 10 = 10 18 – 9 = 9 < 10 18 – 10 = 8 < 10 18 – 11 = 7 < 10 18 – 12 = 6 < 10 F T T T T {9,10,11,12}

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Solve the Equation 3n – 2 = 7 using the replacement set {1,2,3,4,5} Step 1: Make a table Step 2: Substitute values from our replacement set in for n and solve Step 3: All values that yield a true solution go into our solution set. Solution Set = {3} n3n – 2 = 7 T/F 13(1) – 2 = 1F 23(2) – 2 = 4F 33(3) – 2 = 7T 43(4) – 2 = 10F 53(5) – 2 = 13F

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Solve the equation using order of operations for the following replacement set {0,2,4,6} and give solution set. 18 – 3x 2 (6 – 5) Remember to solve the top first and then the bottom before you do division. X18 - 3x < 6 2 (6 – 5) T/F 018 – 3(0) = 18 = 9 > 6 2(1) 2 F 218 – 3(2) = 18 – 6 = 12 = 6 = 6 2(1) 2 2 F 418 – 3(4) = 18 -12 = 6 = 3 < 6 2(1) 2 2 T 618 – 3(6) = 18 – 18 = 0 = 0 < 6 2(1) 2 2 T < 6 {4,6}

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Homework: Pg 18 – 19 # 22 -31, 34 - 37

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Compound Inequalities

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