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Class Starter8-16-13 pg. 7

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Open Sentences A mathematical statement with one or more variables is called an open sentence. An open sentence is neither true or false until the variables have been replaced with numerical values. The process of finding a value for a variable that results in a true sentence is called solving the open sentence. This replacement value is called a solution. Example:The replacement value 6 is a solution to the equation 5(x + 2) = 40 because the value makes the open sentence true.

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Sets A set of numbers that can replace a variable is called a replacement set. A set is a collection of objects or numbers. It is often shown using braces { } and is usually named by a capital letter. Each object or number in the set is called an element. The solution set of an open sentence is the set of elements from the replacement set that make an open sentence true. Example:The set S = {5} is a solution set of the equation 6n + 7 = 37. 5 is an element of the set S

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Inequalities

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Find the solution to the equation if the replacement set is {10, 11, 12, 13, 14, 15} 3x – 7 = 29

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Find the solution set for16(x + 2) = 70.4 if the replacement set is{2.2, 2.4, 2.6, 2.8}

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Find the solution set for 18 – y < 10 if the replacement set is {7, 8, 9, 10, 11, 12}

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Use Order of Operations to Solve the Equation

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Assignment – Open Sentences Algebra Textbookpgs. 18-19 # 5-33 odd, *omit 13, 27

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