If set A = {3,4,7,9}, set B = {8,9,10,11}, and set C = {4,9,11,14,15}, then An(BuC) =

Question

asked Jul 13, 2023 191k views

1 Answer

Bahri Noredine · Answer 1 · 2023-07-17T07:44:00+0000

SOLUTION

From the question, we have

A = {3, 4, 7, 9}

B = {8, 9, 10, 11}

C = {4, 9, 11, 13, 15}

To get this lets first find B union C. This is all the items found in B or C or both, but not repeated. So B union C is

$B\cup C=\lbrace4,8,9,10,11,13,15\rbrace$

Now A intersection B union C are the elements common to set A and set B union C. We have

$A\cap(B\cup C)=\lbrace4,9\rbrace$

Hence the first option is the answer