Question

Let X and Y be the following sets:

Answer 1

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