The Universal ξ= {multiples of 3 less than 30}A= {odd numbers}B= {numbers greater than 15}A and B are subsets of the universal set.(a). List the members of:(i). ξ(ii). A(iii) B(b). List the members of:(i). A∪B(ii). A∩B(iii). A′∩B(c). List the members of: (A∪B′)∩A′(d). Find the value of: n(A∩B′)

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The Universal ξ= {multiples of 3 less than 30}A= {odd numbers}B= {numbers greater than 15}A and B are subsets of the universal set.(a). List the members of:(i). ξ(ii). A(iii)  B(b). List the members of:(i). A∪B(ii). A∩B(iii). A′∩B(c). List the members of: (A∪B′)∩A′(d). Find the value of: n(A∩B′)

Obiajulu · Accepted Answer

Step 1Here a universal set and two subsets are given.We have to find the following members in the each relation.Step 2a) The universal ξ= {multiples of 3 less than 30}ξ={3,6,9,12,15,18,21,24,27}A and B are subset of the universal set ξA= {add numbers}A={3,9,15,21,27}B= {numbers greater than 15}B={18,21,24,27}i) ξ={3,6,9,12,15,18,21,24,27}ii) A={3,9,15,21,27}iii) B={18,21,24,27}Step 3b) i) A∪B{3,9,15,18,21,24,27}ii) A∩B={21,27}A′={6,12,18,24}iii) (A′∩B)={18,24}=A′∩Bc) B′={3,6,9,12,15}A∪B′={3,6,9,12,15,21,27}(A∪B′)∩A′={6,12}d) A∩B′={3,9,15}n(A∩B′)=3

The Universal \xi = {multiples of 3 less than 30} A = {odd numbers} B = {numbers greater than 15} A and B are subsets of the universal set. Find the value of: n(A \cap B')

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