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SOLVING VENN DIAGRAMS

SOLVING VENN DIAGRAMS. www.mathxtc.com. The universal Set, U, and the sets A, B and Contained within it are such that:. Find:. SOLVING VENN DIAGRAMS. Method 1: Algebraic Approach. www.mathxtc.com. The universal Set, U, and the sets A, B and Contained within it are such that:. Find:.

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SOLVING VENN DIAGRAMS

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  1. SOLVINGVENN DIAGRAMS www.mathxtc.com

  2. The universal Set, U, and the sets A, B and Contained within it are such that: Find:

  3. SOLVINGVENN DIAGRAMS Method 1: Algebraic Approach www.mathxtc.com

  4. The universal Set, U, and the sets A, B and Contained within it are such that: Find:

  5. The universal Set, U, and the sets A, B and Contained within it are such that: Find:

  6. The universal Set, U, and the sets A, B and Contained within it are such that: Find:

  7. The universal Set, U, and the sets A, B and Contained within it are such that: Find:

  8. The universal Set, U, and the sets A, B and Contained within it are such that: Find:

  9. The universal Set, U, and the sets A, B and Contained within it are such that: Find:

  10. 10 - x a b 16 - x 11 - x c

  11. a + 10 + (16 – x) = 25  a = x – 1 x - 1 a b c

  12. a + 10 + (16 – x) = 25  a = x – 1 b + 10 + (11 – x) = 34  b = x + 13 x + 13 b c

  13. a + 10 + (16 – x) = 25  a = x – 1 b + 10 + (11 – x) = 34  b = x + 13 37 + (x – 1) + (10 – x) + (x + 13) = 74 – 8 59 + x = 66  x = 7

  14. a + 10 + (16 – x) = 25  a = x – 1 b + 10 + (11 – x) = 34  b = x + 13 37 + (x – 1) + (10 – x) + (x + 13) = 74 – 8 59 + x = 66  x = 7

  15. SOLVINGVENN DIAGRAMS Method 2: Trial and Adjustment Approach www.mathxtc.com

  16. Here is the given information: Find:

  17. Try x = 4? Needs to be 74

  18. Now Try x = 7? Bingo !!! x = 7 74 – 71 = 3 and4 + 3 = 7Is this a coincidence? 

  19. SOLVINGVENN DIAGRAMS Method 3: Reasoning Approach www.mathxtc.com

  20. Here is the given information: Find:

  21. 25 + 34 + 37 = 96 A + B + C = 66 96 – 66 = 30 Surplus 10 + 16 + 11 = 37 7 37 – 30 = 7 Surplus Find: = 7

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