On the Venn diagram, shade the region which represents A' ∩ B. Answer Using the Venn diagram above, draw the set C such that C ⊂ A, A ∩ C ≠ ∅ and n(B ∩ C) = 0.

1. Identify and shade the required region

$A' \cap B$ means the elements that are not in $A$ but are in $B$.

So shade the region inside circle $B$ excluding the overlap with circle $A$.

1. Interpret the three conditions for the position of $C$

$C \subset A$ means $C$ must be drawn entirely inside circle $A$.

$A \cap C \ne \varnothing$ means $C$ must contain at least one element in common with $A$, so $C$ must be non-empty.

$n(B \cap C)=0$ means $C$ must not overlap with $B$.

2. Draw $C$ in the only suitable region

Since $C$ is inside $A$ but has no overlap with $B$, draw $C$ wholly in the region

$A \cap B'.$

This is the part of circle $A$ outside circle $B$.