3. the following sets are not equal - an (buc) and au(bnc) construct a universe u and non-empty sets a, b, and c so that the above sets are in fact the same. construct a universe u and non-empty sets a, b, and c so that the above sets are in fact different.

1.U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

2.U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

Step-by-step explanation:

We are given that and

are different sets

1.We have to construct a universe set U and non empty sets A,B and C so that above set in fact the same

Suppose U={1,2,3,4,5}

A={2}

B={2,3}

C={4,5}

{2,3,4,5}

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

={2}={2}

Hence,

2.We have to construct a universe set U and non empty sets A,B and C so that  above sets are in fact different

Suppose U={1,2,3,4}

A={1,2}

B={2,3}

C={4}

={2,3,4}

={1,2}={1,2}

={1,2} {2,3,4}={2}

Hence,