Question

A={2,3} , B{0,1} , C{1,2} verify that A*(B union C)=(A*B)UNION(A*C)​

Answer 1

Answer:

A=2,3. B= 0,1. C=1,2

solving lhs

A(b union c)= 2,3(0,1 2)

so A( b union c) will be

(2,0) (2,1 ) (2,2 ) (3,0) ( 3,1) ( 3,2)

solving rhs

A×B = (2,0) (2,1) 3,0) (3,1)

A×C=(2,1) (2,2) (3,1) (3,2)

so A×B UNION A×C = (2,0) (2,1) (2,2) (3,0) (3,1) (3,2)

HENCE PROVED