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

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Presentation transcript:

SOLVING VENN DIAGRAMS

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

SOLVING VENN DIAGRAMS Method 1: Algebraic Approach

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

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

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

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

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

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

10 - x 11 - x16 - x ab c

a (16 – x) = 25 x - 1ab c  a = x – 1

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

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

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

SOLVING VENN DIAGRAMS Method 2: Trial and Adjustment Approach

Here is the given information: Find:

Try x = 4 ? Needs to be 74

Now Try x = 7 ? Bingo !!! x = 7 74 – 71 = 3 and = 7 Is this a coincidence?

SOLVING VENN DIAGRAMS Method 3: Reasoning Approach

Here is the given information: Find:

= 96 Find: A + B + C = – 66 = 30 Surplus = – 30 = 7 Surplus 7 = 7