venn diagrams - How can this event be shown?

Question

I have this venn diagram enter image description here

For which i have shade (A ∩ B ) ∪ C. I see where A and B intersect, but i don't how a union should appear between the intersection and C. Could someone clarify where i am going wrong?

score 2 · Answer 1 · answered Sep 01 '14 at 21:00

2

You simply shade $A \cap B$ which is the common area for $A$ and $B$, then you shade $C$ too because in a way you're "combining the two sets". All of what's in $A \cap B$ AND in $C$ is in the union.

answered Sep 01 '14 at 21:00

Sheheryar Zaidi

2,714

score 2 · Accepted Answer · edited Jun 12 '20 at 10:38

2

The red area is $(A\cap B)\cup C$

AB + C

The red points are the ones that are either in the intersection $A\cap B$, or in $C$ (or in both, but there are no such points in this case). That's what union means, after all.

edited Jun 12 '20 at 10:38

Community

1

answered Sep 01 '14 at 21:01

Arthur

199,419

So something like A ∩ ( B ∪ C)’ would look like this http://snag.gy/lxUmu.jpg – stats Sep 01 '14 at 21:13
@stats Yes, that's right. – Arthur Sep 01 '14 at 21:54

venn diagrams - How can this event be shown?

2 Answers2