Does complement of a set include intersection?

Question

If i have a Venn diagram like this

Where it asks me to shade complement of (A) union with B.Do i shade the intersection part or no?

Answer 1

To shade the union of two sets on a Venn diagram, shade one set, then shade the other set.

When you do this for $A'$ and then for $B$ you will discover whether $A\cap B$ gets shaded.

Answer 2

It's important to keep in mind the 'brackets' when going for such questions. From what is written, I assume that you're asking for the shading of $(AUB)^c$ Then, first shade all of A and B (By definition of a union). Whatever portion if leftover, is the region $(AUB)^c$ (by definition of set complement)$?

Edit: So it says $A'UB$. Might be useful to go step by step:

1) What is $A'$?

2) What does union mean?

To answer your question, yes, the intersection part would be shaded as that part is included in B and we take the union of B with A'.