Question

Let X and Y be the following sets:

X = {1,3,5,7}
Y = {2,4,6,8}.
Which of the following is the set X∪Y?
A- {2,4,6,8}
B-{1,3,5,7}
C-{1,2,3,4,5,6,7,8}
D- {}

Answer 1

Explanation:

Given

X = {1,3,5,7}

Y = {2,4,6,8}.

Required

X ∪ Y

U, in sets is used means union and it means the collection of all sets without repetition.

So,

X ∪ Y = {1,3,5,7} U {2,4,6,8}

Merge sets together

X ∪ Y = {1,3,5,7,2,4,6,8}

Arrange elements of the sets in ascending order

X ∪ Y = {1,2,3,4,5,6,7,8}

From the list of options, only Set C is equivalent to X U Y;

Hence, C = X U Y = {1,2,3,4,5,6,7,8}