Question

Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}. List the elements in the set.


A ∩ (B ∪ C)


a) {q, s, w, y}


b) {q, y, z}


c) {q, s, u, w, y, z}


d) {q, r, w, y, z}

Answer 1

a) {q, s, w, y}

Explanation:

B ∪ C = {q, s, y, z} ∪ {v, w, x, y, z} = {q, s, v, w, x, y, z} . . . . elements in either set

A ∩ (B ∪ C) = {q, s, u, w, y} ∩ {q, s, v, w, x, y, z} = {q, s, w, y} . . . . elements in both sets (matches selection A)