Question

Let A = {1, 2} B= {1, 2,3,4} , C={4,6}
verify that Ax (BUC)= (AXB)U (AXC)​

Answer 1

Answer:

Ax (BUC)= A*{4}= {1,2} * {4}

{1,4} , {2,4}

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

=(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4)

(AXC) = {1,2}x {4,6}

= (1,4),(1,6),(2,4),(2,6)

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

hence proved ,

Ax (BUC)= (AXB)U (AXC)