Ask a Teacher

Search



CARTESION PRODUCT A=1,2,3 B=3,4 C=4,5,6 find AX(BnC) (AXB)n(AXC)

A= {1,2,3} , B={3,4},C={4,5,6}
B?C = {4}

AX(B?C) = {1,2,3}X {4}
               ={(1,4),(2,4),(3,4)}
AXB= {1,2,3}X {3,4}
      ={(1,3),(1,4),(2,3),(2,4),(3,3),(3,4)}
AXC = {1,2,3}X{4,5,6}
       = {(1,4),(1,5),(1,6),(2,4)(2,5),(2,6),(3,4)(3,5),(3,6)}
(AXB) ? (AXC)= {(1,4),(2,4),(3,4)}


comments powered by Disqus