Consider the following sets: A = {all prime numbers less than 12} B = {all positive even integers less than or equal to 10} a. Represent the relationship between these two sets using a Venn diagram.  b. Determine n(A). c. Determine n(B). d. Determine n(A ∪ B). e. Determine n(B\A).

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A: Given below the detailed solution

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A: (c) C = (-2, 2) = { x ∈ R :  - 2 < x < 2 } (d) D = { A ⊆ N : #(A) = 20 } Where, #(A)…

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A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

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A: Since you have posted a multiple  question according to guildlines I will solve first   question…

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A: Given,

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Q: Construct the Venn diagram of the following sets under the universal set U and do what is asked. u =…

A: We shall solve first three subparts only. For others kindly post again by mentioning properly.

Q: question 7

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Q: 13. Consider the following sets, with U = N; that is, the universal set is the set of natural…

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Q: Let the Universal Set, S, have 120 elements. A and B are subsets of S. Set A contains 92 elements…

A: Universal set s=120 elementsSet A=92Set =27elemants in  A and B=21

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.