Question

Find the union of A and B.Select the correct answer below:{2.5,b,4,f,1/2,c,4.1,a,3,1/3}{2.5,4,1/2,4.1,3,1/3}{b,f,c,a}{2.5,b,1/2,c,4.1,a,3,1/3}

Answer 1

EXPLANATION:

Given;

We are given two sets A and B with the elements as indicated in the attached image.

Required;

We are required to find the union of sets A and B.

Solution;

The union of two sets is given as the elements contained in set A, in set B and the intersection of both.

The elements of set A are;

$A=\lbrace2.5,b,4,f,\frac{1}{2},4.1,c\rbrace$

The elements of set B are;

$B=\lbrace a,3,\frac{1}{3},\frac{1}{2},4.1,c\rbrace$

The intersection of both sets are:

$A\cap B=\lbrace\frac{1}{2},4.1,c\rbrace$

Taking all elements common to both sets A and B including the intersection, we now have the union of both sets;

ANSWER:

$A\cup B=\lbrace2.5,b,4,f,\frac{1}{2},c,4.1,a,3,\frac{1}{3}\rbrace$

The first option is the correct answer.