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Question

If

Solve the following problems. Draw Venn diagrams for each of them.

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Solution

A = {2, 3, 4, 5, 6}

B = {2, 4, 6, 8, 10}

C = {3, 6, 7, 9}

(1) A B = {2, 3, 4, 5, 6} {2, 4, 6, 8, 10}

= {2, 4, 6}

And the Venn diagram is:

(2) B C = {2, 4, 6, 8, 10} {3, 6, 7, 9}

= {6}

And the Venn diagram is:

(3) A C = {2, 3, 4, 5, 6} {3, 6, 7, 9}

= {3, 6}

And the Venn diagram is:

(4) (A B) C = {2, 4, 6} {3, 6, 7, 9} (From (1) A B = {2, 4, 6})

= {6}

And the Venn diagram is:

(5) A (B C) = {2, 3, 4, 5, 6} {6} (From (2) B C = {6})

= {6}

And the Venn diagram is:


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