in the venn diagram below, the shaded region ...

in the venn diagram below, the shaded region portion represents which of the following? (a∪b)∩c (b∩c)∪a (a∩b)∪c

Answer

# Explanation: ## Step1: Analyze intersection and union The shaded region includes the part that is common to A and B (i.e., $A\cap B$) and all of C. The union operation combines sets. Here we are combining the intersection of A and B with set C. ## Step2: Match with set - notation The set - notation for combining the intersection of A and B with set C is $(A\cap B)\cup C$. # Answer: $(A\cap B)\cup C$