Question

if U = {1,2,3,4---15} , A - {1,2,3,4} ,B={3,4,7,8}
plove that (AUB) = A'n B'
​

Answer 1

Answer

A=(1,2,3,4)

B=(3,4,5,6)

C=(4,5,6,7,8)

U=(1,2,3,4,5,6,7,8,9,10)

According to DeMorgan's Law

(A∨B)

′

=A

′

∧B

′

A

′

=(∧5,6,7,8,9,10)

B

′

=(1,2,7,8,9,10)

(A∨B)=3,4

(A∨B)

′

=1,2,5,6,7,8,9,10

A

′

∧B

′

=1,2,5,6,7,8,9,10

Hence proved