Question

Let A={0, 1}, B={2, 3,4} and C={3, 5} verify that A×(BUC) =(A×B)U(A×C)

Answer 1

Step-by-step explanation:

BUC={2,3,4,5}

AX(BUC)={(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)}

AXB={(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)}

AXC={(0,3),(0,5),(1,3),(1,5)}

(AXB)U(AXC)={(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)}

Hence, proved.