# Set Proofs without using Venn Diagrams

3. Prove, without using Venn diagrams that

a) A intersect ( B union C) = A intersect B) union (A intersect C) and

b) A union ( B intersect C) = (A union B) intersect (A union C),

for all sets A, B, C

4. Prove, without using Venn diagrams, that the statements

i) A subset of B

ii) A intersect B = A, and

iii) A union B = B

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3. Prove, without using Venn diagrams that

a) A intersect ( B union C) = A intersect B) ...

#### Solution Summary

Set proofs are provided without using Venn diagrams.

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