Perform the given set operation. Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
please solve this:
{x | x is a multiple of 2} ∪ {x is a multiple of 7}
{2,4,6,8,10} ∪ {7}
does this mean this is a empty ?
or does the braces union each other so it would be {2,4,6,7,8,10}?
To solve the given set operation, we need to find the union of two sets.
The first set, {x | x is a multiple of 2}, represents all the numbers in the universal set U that are multiples of 2. This set can be represented as {2, 4, 6, 8, 10}.
The second set, {x is a multiple of 7}, represents all the numbers in the universal set U that are multiples of 7. This set can be represented as {7}.
To find the union of these two sets, we need to combine all the elements from both sets without any repetition. Therefore, the union of these two sets is {2, 4, 6, 7, 8, 10}.
So, the solution to the given set operation is {2, 4, 6, 7, 8, 10}.