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

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

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:

$(A\cap B)\cup C$