Math, asked by sharmarachit2004, 11 months ago

please help me out in question 5

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Answers

Answered by das304551
0

Step-by-step explanation:

God bless you all the best of me and I have been a long day and I don't know

Answered by Anonymous
2

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!

[ in full answer i have written 'intersection' instead of its sign coz was not knowin to give the sign]

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