Question

If

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

Answer 1

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: