Question

Then prove that AU (BUC)=(AUB)UC

Answer 1

Assume three different sets,

A = {1,2,3} , B = {4,5,6} , C = {7,8,9}

L.H.S = (AuB)uC

= ({1,2,3}u{4,5,6}) u {7,8,9}

= {1,2,3,4,5,6} u {7,8,9}

= {1,2,3,4,5,6,7,8,9}

R.H.S = Au(BuC)

= {1,2,3} u ({4,5,6}u{7,8,9})

= {1,2,3} u {4,5,6,7,8,9})

= {1,2,3,4,5,6,7,8,9}

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