Question

Let U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B = {1, 2, 3, 5, 7}, and C = {1, 3, 6, 7}.Find (A ∩ B)’Question 45 options:a) { }b) {1, 3, 5, 7}c) {1, 3, 4, 5, 6, 7}d) {2}

Answer 1

We want to find (A ∩ B)’ we have to first find (A ∩ B), that is elements that are common to both A and B, elements seen in A and also seen in B

So

`(A\cap B)=\lbrace2\rbrace`

Now (A ∩ B)’ are elements seen in the universal set U that are not in (A ∩ B). These are

`(A\cap B)^(\prime)=\lbrace1,3,4,5,6,7\rbrace`

Hence the answer is c) {1, 3, 4, 5, 6, 7}