Question

3The numerals represent cardinalities in the Venn diagram(a) Find the cardinality of the set ANB.(b) Find the cardinality of the set AUB.(c) Find the cardinality of the set ANB'.(d) Find the cardinality of the set A'nB.(e) Find the cardinality of the set A'no'59ABU(a) The cardinality of AB is(b) The cardinality of A U B is(c) The cardinality of AnB' is(d) The cardinalty of A' n Bis D(e) The cardinality of A' B'is

Answer 1

We want to determine the number that represent cardinalities that represent the following set on the venn diagram.

A. AnB is the section both A and B share in common, the section at which circle A and circle B overlap. Looking at the venn diagram;

`A\cap B=\lbrace9\rbrace`

B. AUB are all the section that covers A and B, Combination of circle A and circle B in te venn diagram.

`A\cup B=\lbrace5,6,9\rbrace`

C. AnB' are the section that are outside the circle B but inside circle A.

B' are the sections outside outside circle B.

From the venn diagram;

`A\cap B^(\prime)=\lbrace5\rbrace`

D. A'nB are the section that are outside the circle A but inside circle B.

A' are the sections outside circle B.

From the venn diagram;

`A^(\prime)\cap B=\lbrace6\rbrace`

E. A'nB' are the section that are outside both circle A and circle B.

From the venn diagram;

`A^(\prime)\cap B^(\prime)=\lbrace3\rbrace`