2.2. Use Venn diagrams to verify the two De Morgan laws: (b) (AUB) A'n B'.

Question

Question

2.2. Use Venn diagrams to verify the two De Morgan laws: (b) (AUB) An B.

math Statistics-And-Probability

Answer 1

Answer #1

(a) Here S is the universal set. We see that the shaded area under both LHS and RHS is the same.

Hence (A ∩ B)' = A' U B' is verified to be true using Venn diagrams

(b) In the Venn diagram we can see that the shaded areas under (A U B)' is the same as A' ∩ B'

Hence, De Morgans laws are verified using Venn Diagrams

(AU B) AUB B A

Answer 2

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