please help me out in question 5
Answers
Step-by-step explanation:
God bless you all the best of me and I have been a long day and I don't know
Answer:
Given,
[ HEY MATE I AM WRITIN' THE SETS DIRECTLY IN THE ROSTER METHOD.]
U={1,2,3,4,5,6,7,8,9}
A={2,4,6,8}
B={2,3,5,7}
Step-by-step explanation:
NOW,
WE HAVE TO PROOF THAT (A U B)' = (A' intersection B')
LHS SIDE
(A U B)'
= (A U B) = {2,4,6,8} U {2,3,5,7}
= {2,3,4,5,6,7,8}
HENCE ,
(A U B)' = U - ( A U B)
= {1,2,3,4,5,6,7,8,9} - {2,3,4,5,6,7,8}
= {1,9}
RHS SIDE
A' intersection B'
= A' = U - A
= {1,2,3,4,5,6,7,8,9} - {2,4,6,8}
= {1,3,5,7,9}
= B' = U - B
= {1,2,3,4,5,6,7,8,9} - {2,3,5,7}
= {1,4,6,8,9}
HENCE,
A' intersection B'
={1,3,5,7,9} intersection {1,4,6,8,9}
= {1,9}
THEREFORE,
HERE LHS = RHS
(A U B)' = A' intersection B'
= {1,9} = {1,9}
Hence verified.
HOPE I HELPED U FRIEND!