Draw a Venn diagram to represent the intersection and union of the sets: P = {1, 5, 7, 9, 13},

Question

R = {1, 2, 3, 4, 5, 6, 7}, and Q = {1, 3, 5}.
show your work

Answer 1

Here is the Venn diagram representing the intersection and union of the sets P, R, and Q:

P = {1, 5, 7, 9, 13}

R = {1, 2, 3, 4, 5, 6, 7}

Q = {1, 3, 5}

The intersection (P ⋂ Q ⋂ R) is represented by the shaded area in the middle where all three sets overlap:

P ⋂ Q ⋂ R = {1, 5}

The union (P ⋃ Q ⋃ R) is represented by the entire area covered by the three sets combined:

P ⋃ Q ⋃ R = {1, 2, 3, 4, 5, 6, 7, 9, 13}

Note that the elements 2, 3, 4, 6, 7, 9, and 13 are not common to all three sets and are only part of the union.