Question

Let X and Y be the following sets:

X = \{5,10,15\}X={5,10,15}X, equals, left brace, 5, comma, 10, comma, 15, right brace
Y = \{3,6,9,12,15\}Y={3,6,9,12,15}Y, equals, left brace, 3, comma, 6, comma, 9, comma, 12, comma, 15, right brace
Which of the following is the set X \cup YX∪YX, \cup, Y?

Answer 1

It’s C on khan (the one with the most numbers)

Explanation:

Answer 2

Given:

Let X and Y be two sets.

The two sets are given by
`X=\{5,10,15\}` and
`Y=\{3,6,9,12,15\}`

We need to determine the value of the set
`X \cup Y`

Value of the set
`X \cup Y`:

The value of the set
`X \cup Y` is the set that contains all the elements that are at least in one of the two sets.

Hence, the union of the set
`X \cup Y` is given by

`X \cup Y=\{5,10,15\} \cup \{3,6,9,12,15\}`

`X \cup Y=\{5,10,15,3,6,9,12\}`

Arranging in ascending order, we get;

`X \cup Y=\{3,5,6,9,10,12,15\}`

Thus, the union of the sets X and Y is
`X \cup Y=\{3,5,6,9,10,12,15\}`