Question

A=(2,3,5,7,11)
B=(4,6,8,9,10,12)
C=(1,3,5,7,9,12)

VERIFY
AU(BnC)= (AUB) n (AUC)

Answer 1

Answer:

BnC=(4,6,8,9,10,12)n(1,3,5,7,9,12)=(9,12)

AU(BnC)=(2,3,5,7,11)u(9,12)=(2,3,5,7,9,11,12)

Answer 2

Step-by-step explanation:

Lhs:AU(BnC)

BnC=(4,6,8,9,10,12)n(1, 3,5,7,9,12)

=(9,12)

AU(BnC) =(2,3,5,7,11)U(9,12)

=(2,3,5,7,9,11,12)------->1

Rhs:(AUB) n(AUC)

AUB= (2,3,4,5,6,7,8,9,10,11,12)

AUC=(1,2,3,5,7,9,11,12)

(AUB) n(AUC) =(2,3,4,5,6,7,8,9,10,11,12)n(1,2,3,5,7,9,11,12)

=(2,3,5,7,9,11,12)-------->2

from 1&2

Lhs=Rhs

(I.e) AU(BnC) =(AUB) n(AUC)

Hence verified