Perform the given set operation. Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
(Enter your answers as a comma-separated list. Enter EMPTY for the empty set.)
{x | x is a multiple of 2} union {x is a multiple of 3}
what's the problem? just list the elements which satisfy the conditions
{x| x∊{2,4,6,8,10}∪{3,6,9}}
now remove duplicates
{2,3,4,6,8,9,10}
To perform the given set operation, we need to find the union of two sets: one set of multiples of 2, and another set of multiples of 3.
Let's find the multiples of 2 first:
Multiples of 2 in the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} are {2, 4, 6, 8, 10}.
Now, let's find the multiples of 3:
Multiples of 3 in the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} are {3, 6, 9}.
To find the union of these two sets, we need to combine them and remove any duplicates. Therefore, the union of multiples of 2 and 3 is {2, 3, 4, 6, 8, 9, 10}.
So, the answer to the given set operation is {2, 3, 4, 6, 8, 9, 10}.