Q9 of 50 Page 14

Using Venn diagram, verify whether the following are true:

A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

A ⋃ (B ⋂ C) = (A ⋃ B) ⋂ (A ⋃ C)


LHS:


Consider B ⋂ C,



Then


A ⋃ (B ⋂ C)


= LHS


RHS:


Consider A ⋃ B,



Then, consider A ⋃ C,



Then,


(A ⋃ B) ⋂ (A ⋃ C)


= RHS


∴ LHS = RHS


Hence verified.


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 9

Using Venn diagram, verify whether the following are true:

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

 9

Using Venn diagram, verify whether the following are true:

(A ∪ B)’ = A’ ∩ B’