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} ∪ {x is a multiple of 7}
the first set would be {2,4,6,8,10}
the second set would be {7}
so {2,4,6,8,10} ∪ {7)
= { 2,4,6,7,8,10}
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.)
(a)
{1, 3, 5} ∩ {7, 8}
(b)
{1, 3, 5} ∪ {7, 8}
(c)
{1, 3, 5, 7, 8}
Well, it seems like we're talking about a "union" here. So let's see:
{x | x is a multiple of 2} is {2, 4, 6, 8, 10}.
{x | x is a multiple of 7} is {7}.
Now, for the union, we just need to combine the elements from both sets. So the answer here would be {2, 4, 6, 8, 10, 7}.
Ta-da!
To perform the given set operation, we need to find the union of the set of numbers that are multiples of 2 and the set of numbers that are multiples of 7.
The set of numbers that are multiples of 2 is {2, 4, 6, 8, 10}, and the set of numbers that are multiples of 7 is {7}.
To find the union, we need to combine the elements from both sets, removing any duplicates.
So, the union of the two sets is {2, 4, 6, 7, 8, 10}.
To perform the given set operation, we need to find the union of two sets. The first set is the set of numbers that are multiples of 2, and the second set is the set of numbers that are multiples of 7.
First, let's find the numbers that are multiples of 2:
Multiples of 2: {2, 4, 6, 8, 10}
Next, let's find the numbers that are multiples of 7:
Multiples of 7: {7}
Now, we can find the union of these two sets by combining all the elements from both sets:
{x | x is a multiple of 2} ∪ {x is a multiple of 7} = {2, 4, 6, 7, 8, 10}
Therefore, the answer is {2, 4, 6, 7, 8, 10}.