8. Use Venn diagrams (or any other method) to show that (a) EF E, E

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8. Use Venn diagrams (or any other method) to show that

(a) EF ⊂ E, E ⊂ E ∪ F ;

(b) if E ⊂ F then F c ⊂ Ec ;

(c) the commutative laws are valid;

(d) the associative laws are valid;

(e) F = FE ∪ FEc ;

(f ) E ∪ F = E ∪ EcF ;

(g) DeMorgan’s laws are valid.

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