- #1

FritoTaco

- 132

- 23

## Homework Statement

Hi, the problem states to draw a Venn Diagram for [itex]A\cap(B-C)[/itex]

## Homework Equations

[itex](B - C)[/itex] means include all elements in the set [itex]B[/itex] that are not in [itex]C[/itex].

__Definition from my book__: Let A and B be sets. The

*difference*of [itex]A[/itex] and [itex]B[/itex], denoted by [itex]A - B[/itex], is the set containing those elements that are in A but not in B. The difference of [itex]A[/itex] and [itex]B[/itex] is also called the

*complement of [itex]B[/itex] with respect to [itex]A[/itex]*.

[itex]A\cap(B-C)[/itex] means that after finding [itex](B - C)[/itex], find where [itex]A[/itex] intersects [itex](B - C)[/itex].

## The Attempt at a Solution

__Step 1:__

[itex](B - C)[/itex]

(See png file called "step1")

__Step 2:__

[itex]A\cap(B-C)[/itex]

(see png file called "step2")

My question is, do i shade in region 5, even though [itex](B - C)[/itex] means "no elements in [itex]C[/itex]" but when I have to show [itex]A[/itex] and [itex]B[/itex] intersect, I shade in region 4 obviously, but does that include region 5 because that's also where [itex]A[/itex] and [itex]B[/itex] intersect, but [itex]C[/itex] is also intersecting there as well.

So, in case you didn't follow because I may or may not be good at explaining things, should I include region 5 or exempt it from being shaded in?