if A, B, C are three sets then prove that (A intersection B)X C= (AXC) intersection (BXC) Share with your friends Share 0 Priyanka Kedia answered this Let a,b∈A∩B×C⇔a∈A∩B and b∈C⇔a∈A and a∈B and b∈C⇔a∈A and b∈C and a∈B and b∈C⇔a,b∈A×B and a,b∈B×C⇔a,b∈A×B∩B×CThus,A∩B×C=A×B∩B×C 1 View Full Answer Khushboo answered this Let 2 sets be A={1,2} ,B={2} and C={5}.Then,A intersection B={2} ,AxC={(1,5),(2,5)} BXC={(2,5)}NOW, (A intersection B) XC = {(2.5)} eq.1A X C intersection B X C = {(2,5)} eq.2Hence from eq. 1 and 2 PROVED. 1
