Question

1. Consider the following situation: The universal set U is given by: U = {?|? ?...

1. Consider the following situation: The universal set U is given by: U = {?|? ? ? , ? ≤ 12}

A is a proper subset of U, with those numbers that are divisible by 4.

B is a proper subset of U, with those numbers that are divisible by 3.

C is a proper subset of U, with those numbers that are divisible by 2

a) Using Roster Notation, list the elements of sets U, A, B and C.

b) Place the elements of each set in the correct region of a Venn diagram.

c) Find the set (A ∩ C) and interpret the meaning of the answer.

d) Find the set (A ∩ B) and interpret the meaning of the answer.

e) Find the set (B ∪ C) and interpret the meaning of the answer.

f) Find the complement set (B ∪ C) ' and interpret the meaning of the answer.

g) Find the set complement (B ∩ C) and interpret the meaning of the answer

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