Question

if P={2,3},Q={3,4}& R={2,4} verify that P×(QUR)=(P×Q)U(P×R)​

Answer 1

Step-by-step explanation:

(P×Q) = {(2,3),(2,4),(3,3),(3,4)}

(P×R) = {(2,2), (2,4), (3,2) , (3,4)}

(QUR) = {2,3,4}

L.H.S: P×(QUR)= {(2,2),(2,3), (2,4), (3,2), (3,3), (3,4)}

R.H.S: (P×Q) U (P×R)

= {(2,2),(2,3),(2,4), (3,2), (3,3), (3,4)}

Hence Proved.