Question

The universal set is the set of counting numbers less than or equal to 10.
U = {1,2,3,4,5,6,7,8,9,10}

Set A is the set of numbers that Awesome Ashley likes:
A={2,4,5,8}

Set B is the set that Bashful Betty likes:
B={1,3,6,7,9}

Set C is the set that Curious Carlos likes:
C={1,4,9}

Which of the following values is NOT an element of (~A)∩(B∪C)?

Answer 1

@BrookeLamb, do you know how to create the set ~A?

Answer 2

no not really i am trying my best to help a little cousin out and we cannot figure this one out.

Answer 3

This is actually pretty easy stuff. If my memory serves correct (I will check), the ~ sign means "anything but". The upside down U is "crossover" and the U means "uniting". With this information, you can conclude that "anything but 2,4,5,8" is crossing over "1,3,4,6,7,9". And by crossing over, I mean what do they have in common?

Break it down into (1, 3, 6,7, 9,10) crossing over with (1,3,4,6,7,9). What do they having in common? 1,3,6,7, and 9.

Answer 4

The set ~A is the set of numbers in U that are not in A

Answer 5

So whatever numbers that are in U, but not in A belongs to the set ~A.

Answer 6

is it 9???