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WORKBOOK

Example 34: A and B are subsets of the same universal set.
If  – n A B   3 n   B  6 ( n A ) B and n(A B) = 24, then find n(B).

COMPLEMENT OF A SET:

…………………………………………………………………………………………………………………………………………

…………………………………………………………………………………………………………………………………………
′
Symbolically, = {: ∈ ∉ }
By Venn Diagram,

U
A ′
∈ ⟺ …
′
= {: ∈ … }

Note that A’ = U – A.

Example 35: A = {x : x is a prime number less than 10 } , U =  x:x is a digit 

′
Place the elements in the right sets and write in listed form.
U

A A'

30 091math-wb-w3-(sets)