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U= (1.2.3.4.5.6,7,8,9,10) A=(1,2,3,7,8) B=(3,4,5,7,9) C=(1,3,5,6,10) find (A) AnB (B) Buc (C) AnBnc​

User Htafoya
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Answer:

To find the solutions for (A) AnB, (B) Buc, and (C) AnBnc, we need to first understand the notations used.

AnB represents the intersection of sets A and B, which is the set of elements that are present in both A and B.

Buc represents the union of sets B and C, which is the set of elements that are present in either B or C or both.

AnBnc represents the intersection of sets A and B complement, also known as the relative complement of B in U. This is the set of elements that are present in A but not in B.

Now, let's find the solutions for each of the given problems:

(A) AnB:

A = {1, 2, 3, 7, 8}

B = {3, 4, 5, 7, 9}

AnB = {3, 7}

Therefore, the solution for (A) AnB is {3, 7}.

(B) Buc:

B = {3, 4, 5, 7, 9}

C = {1, 3, 5, 6, 10}

Buc = {1, 3, 4, 5, 6, 7, 9, 10}

Therefore, the solution for (B) Buc is {1, 3, 4, 5, 6, 7, 9, 10}.

(C) AnBnc:

A = {1, 2, 3, 7, 8}

B = {3, 4, 5, 7, 9}

B complement = {1, 2, 6, 8, 10}

AnBnc = {1, 2, 6, 8}

Therefore, the solution for (C) AnBnc is {1, 2, 6, 8}.

User Ahsan Iqbal
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