Enter the sizes of the sets |En BI and BI

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

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Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: List the first four elements of the set { x | x = 4k + 1, and k is a natural number}  (List each…

A: Given set { x | x = 4k + 1, and k is a natural number} = {4×1+1, 4×2+1, 4×3+1, 4×4+1, ... } = {5, 9,…

Q: Show that 2N, the collection of all sets of natural numbers, is uncountable.

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Q: Let A and B be sets. Prove that A U B = A^ B if and only if A = B.

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Q: Give an example of sets A and B for which |A U B| = |A|+|B|.

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Q: Let A = {1,2} and B = {3, 4}. (a) Find A x B (b) How many subsets Ax B of size 2 are there? List…

A: Given that A= {1, 2} and B= {3, 4}A x B is the cartesian product

Q: Express the set in roster form. B = (x | XEN and x is a multiple of 7)

A: For given set B we have to write it in roster form.

Q: Let A= (1,2, 3, 4}, let B= {a, b, c, d}, and let P(A) denote the set of all subsets of A. Determine…

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Q: Let A = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }. Give an example of three sets, A1, A2, and A3, such that…

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Q: Give a real-world example of the inclusion/exclusion principle that involves at least two finite…

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Q: Which sets are compact? The union of [0, 1] and [2, 3]

A: Concepts introduction: Theorem (Heine-Borel Theorem): A subset S of R is compact if and only if S is…

Q: Please explain how the 32 was caculated in the problem? I had the same question and got it wrong

A: as we can see is solution  No. of coins tossed = 5 P(H)=12 and P(T)=12

Q: List the elements of the set in roster notation. (Enter EMPTY or ∅ for the empty set.) {x |  9 − x…

A: List the elements of the set in roster notation. (Enter EMPTY or ∅ for the empty set.) {x | 9 − x =…

Q: How many subsets are there for the set {h, j}?

A: The given set is {h, j}.It is known that, “If a set contains ‘m’ elements, then the number of…

Q: If the union of two sets is countable, then each set is also countable.

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Q: Consider the set A = {2, 4, 6, 8} with an operation defined by the table. 2 4 6 8 2 8…

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Q: Let R = {x € Z | x is divisible by 2}. Determine which of the following sets are subsets of R.…

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Q: Write an element from the set B × A × C

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Q: Consider two sets A and B such that A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}. Find the set C…

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Q: Find  the  Power  set  of  the set  {b,c} .

A: The power set of a set contains all of its subsets, the empty set and the set itself. If there are n…

Q: If X = {u,v} what is the power set of X? (in answering this question, use {} as the null set, and do…

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Q: Use the set definitions A = {a, b} and B = {b, c} to express the elements in the powerset P(A) ∩…

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