124k views
2 votes
P ∪ Q (PU) State the number of subsets of P ∩ Q. Represent U, P, and Q on a Venn diagram.

User RickL
by
7.5k points

1 Answer

2 votes

Final answer:

A Venn diagram is used to represent sets and their relationships. The number of subsets of P ∩ Q can be determined by counting the number of regions in the overlap of the two sets.

Step-by-step explanation:

A Venn diagram is a pictorial representation of sets. It is used to show the relationships and overlaps between different sets. In this case, we have sets P and Q represented on the Venn diagram. Set P is represented by a circle, and set Q is represented by another circle. The intersection of P and Q is represented by the overlap of the two circles. The number of subsets of P ∩ Q, which represents the number of subsets common to both P and Q, can be determined by counting the number of regions within the overlap of the two circles.



To find the number of subsets of P ∩ Q, we need to count the number of regions within the overlap of the two circles. Each region represents a subset of P ∩ Q. In this case, there are 2 regions within the overlap, so the number of subsets of P ∩ Q is 2.

User Tanase Butcaru
by
7.2k points