Compute unions, intersections, complements, and Cartesian products of sets.

Question

Brenda, Cuong, and Diego are planning a Pi Day party. Let B,

C, and D be the sets of pies that Brenda, Cuong, and Diego prefer, respectively.

If

B = {apple, blueberry, peach} ,

C = {key lime, lemon meringue, peach} , and

D = {key lime, apple, blueberry} ,

and they will consider baking a pie if and only if it is an element of

(B ∩ C) ∪ (C ∩ D) ∪ (B ∩ D),

then which pies will they consider baking?

Answer 1

Here you must know your set definition.

The intersection (∩) is what two sets have in common.

The union (∪) is all elements in both sets, you can think of "adding" the elements of the sets together, but disregarding duplicates.

So for example the intersection of sets B and C is:

B ∩ C = {peach}

This makes sense since this is the only pie preference Brenda and Cuong have in common.

You can do something similar for the rest of the problem :)