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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?

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2 Answers 2

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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.

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So something like A ∩ ( B ∪ C)’ would look like this snag.gy/lxUmu.jpg –  stats Sep 1 at 21:13
    
@stats Yes, that's right. –  Arthur Sep 1 at 21:54

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.

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