Solving Venn Diagrams
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Transcript of Solving Venn Diagrams
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SOLVING VENN DIAGRAMSwww.mathxtc.com
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The universal Set, U, and the sets A, B and Contained within it are such that:Find:
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SOLVING VENN DIAGRAMSwww.mathxtc.com
Method 1: Algebraic Approach
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The universal Set, U, and the sets A, B and Contained within it are such that:Find:
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The universal Set, U, and the sets A, B and Contained within it are such that:Find:
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The universal Set, U, and the sets A, B and Contained within it are such that:Find:
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The universal Set, U, and the sets A, B and Contained within it are such that:Find:
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The universal Set, U, and the sets A, B and Contained within it are such that:Find:
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The universal Set, U, and the sets A, B and Contained within it are such that:Find:
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10 - x11 - x16 - xabc
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a + 10 + (16 x) = 25x - 1abc a = x 1
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a + 10 + (16 x) = 25x + 13bc a = x 1b + 10 + (11 x) = 34 b = x + 13
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a + 10 + (16 x) = 25 a = x 1b + 10 + (11 x) = 34 b = x + 1337 + (x 1) + (10 x) + (x + 13) = 74 859 + x = 66 x = 7
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a + 10 + (16 x) = 25 a = x 1b + 10 + (11 x) = 34 b = x + 1337 + (x 1) + (10 x) + (x + 13) = 74 859 + x = 66 x = 7
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SOLVING VENN DIAGRAMSwww.mathxtc.com
Method 2: Trial and Adjustment Approach
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Here is the given information:Find:
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Try x = 4 ?Needs to be 74
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Now Try x = 7 ?Bingo !!!x = 774 71 = 3 and4 + 3 = 7Is this a coincidence?
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SOLVING VENN DIAGRAMSwww.mathxtc.com
Method 3: Reasoning Approach
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Here is the given information:Find:
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25 + 34 + 37 = 96Find:A + B + C = 6696 66 = 30 Surplus10 + 16 + 11 = 3737 30 = 7 Surplus7= 7