Question

If A={2,3,4}, B={3,5,6}, and C={5,7,9}, prove the commutative property of the union of set.

Answer 1

Answer:

AU(BUC)=(AUB)UC

A U(B U C )

BUC={3,5,6}U{5,7,9}

={3,5,6,7,9}

AU(BUC)={2,3,4}U{3,5,6,7,9}

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

(AUB)UC

AUB={2,3,4}U{3,5,6}

={2,3,4,5,6,}

(AUB)UC={2,3,4,5,6}U{5,7,9}

={2,3,4,5,6 7,9}..................................2

Hence the 1 and 2 is equal

A U (B U C) = (A U B)U C is equal.

the commutative property of the union of sets is proved.

please follow me and mark me at brainliest.