Let a, b and c be the sets: . a={1,3,5,6,8,10} • b = {2,3,6,9} • c = {1,5,7) write these as sets explicitly (list all possible elements enclosed within {}). (a) aub (b) bnc (c) a-b (d) bxc (c) pic).

(a)

(b)

(c)

(d)

(e)

Step-by-step explanation:

Given information:

A, B and C are three sets:

A={1,3,5,6,8,10}, B = {2,3,6,9}, C = {1,5,7}

A set contains distinct elements.

(a)

We need to find the set AUB. In this set all elements of A and B are included.

(b)

We need to find the set B∩C. In this set all common elements of B and C are included.

It is an empty set because there is no common element in set B and C.

(c)

We need to find the set A-B. In this set all elements of A are included excluding the common elements of A and B.

(d)

We need to find the set BxC.

BxC is defined as

(e)

We need to find the set P(C). It is a power set of C. It is the collection of all subsets of set C.

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step-by-step explanation: