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1. Sets and functions
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Q9 of 50 Page 14

Using Venn diagram, verify whether the following are true:

(A ∪ B)’ = A’ ∩ B’

(A ⋃ B)’ = A’ ⋂ B’


LHS:


Consider A ⋃ B,



Then, (A ⋃ B)’,


= LHS


RHS:


A’ ⋂ B’


= RHS


∴ LHS = RHS


Hence proved.


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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 ∪ C) = (A ∩ B) ∪ (A ∩ C)

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Using Venn diagram, verify whether the following are true:

A (B ∪ C) = (A B) ∩ (A C)

1

If A and B are two sets and U is the universal set such that n(∪) = 700, n(A) = 200, n(B) = 300 and n (A ∩ B) = 100,find n(A’ ∩ B’).

Questions · 50
1. Sets and functions
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