SOLUTION: Another operation that can be defined on sets A and B is the difference of the sets, denoted by A − B. Here is the formal definition of the difference of sets A and B.

Question 1073519: Another operation that can be defined on sets A and B is the difference of the sets, denoted by
A − B.
Here is the formal definition of the difference of sets A and B.

A − B = {x | x is in A and x not in B}
Thus
A − B
is the set of elements that belong to A but not to B. For instance, let
A = {1, 2, 3, 7, 8}
and
B = {2, 7, 11}.
Then
A − B = {1, 3, 8}.

Determine the difference, given that
U = {1, 2, 3, 4, 5, 6, 7, 8, 9},

A = {2, 4, 6, 8},
and
B = {1, 6, 8, 9}.
(Enter your answers as a comma-separated list.)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We're given A = {2, 4, 6, 8} and B = {1, 6, 8, 9}. We want to find A - B.

Start with set A = {2, 4, 6, 8}. Look through this set and compare it to the numbers in set B. Notice how 6 and 8 are found in set B. Erasing those values gets us

A - B = {2, 4}

Notes:
1) The values 1 and 9 are ignored since they aren't in set A.
2) The universal set U isn't really used much here.
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SOLUTION: Another operation that can be defined on sets A and B is the difference of the sets, denoted by A &#8722; B. Here is the formal definition of the difference of sets A and B.

SOLUTION: Another operation that can be defined on sets A and B is the difference of the sets, denoted by A − B. Here is the formal definition of the difference of sets A and B.