Question

let A={-1, 0,1,2}, B={3,0, 2,3} and C={0, 1,3,4} then verify the associative property of union of sets​

Answer 1

Answer:

Given,A={-1,0,1,2}

B={3,0,2}

C={0,1,3,4}

The associative property:(AUB)UC=AU(BUC)

L.H.S:(AUB)UC=({-1,0,1,2}U{3,0,2})U{0,1,3,4}

={-1,0,1,2,3}U{0,1,3,4}={-1,0,1,2,3,4}

R.H.S:AU(BUC)={-1,0,1,2}U({3,0,2}U{0,1,3,4})

={-1,0,1,2}U{0,1,2,3,4}={-1,0,1,2,3,4}

Therefore,L.H.S=R.H.S (Proved).

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