3. Determine the following cardinalities. (a) A = {1,2, {3, 4, 5}} |A| =. (b) B = {{1,2,3, 4, 5}} |B| =
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A: Given below the detailed solution
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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
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A: Note- Since you have asked multiple question, we will solve the first question for you. If you want…
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A:
Q: true or false and why ? The set [0,1] has the same cardinality as ℝ .
A: True. See the attachment
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A: Given:- A={2, 4,8} , B = {1,2,3} , C = {0, 1} To find:- AxBxC
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A: To show that the least upper bound of a set of negative numbers cannot be positive.
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Q: Show every possible 1-1 correspondence between the following sets. {a, b, c} and {1, 2, 3}.
A: Possible 1-1 correspondence between two sets
Q: 16. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5};…
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Q: There are infinitely many different infinite cardinalities.
A:
Q: 4) The relationk onthe Selof real numbers Risa partialorder relation.
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A: We find cardinality. (ℝ^2)\(ℚ×ℤ)( is Cartesian product)
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A: We will basic knowledge of combinatorics to solve this question.
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A: Injective function :different elements have different images Surjective function :codomain=range
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Q: 1), consider the relation of R= {(0, 0), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3, 2),(3, 3)…
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Q: 6. Show that A = {-11,-10,–9,...,9,10, 11} has cardinality 23.
A: Set theory is a branch of mathematics in which we deal with collection of well defined objects.…
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Q: 11. consider the following sets: U = {-5,–4, –3, –2, –1,0,1,2,3,4,5}, A = {x: x² = 25}, B =…
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Q: 2) The numbers in the Venn Diagram below represent cardinalities. B (4 11 10 U 14 C Find n(A n B' n…
A: From venn diagram, n(A∩B'∩C') = n(A-B-C) That is 11.( from figure above)
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Q: Let's generalize the situation in problem #1. Consider the relation < on the set [n] : {1,2,...,n}.…
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Q: 1. Use counting to determine the whole number that corresponds to the cardinality of these sets. (a)…
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Q: 2. Let S = {a, b, c, d, e}. Find the cardinalities ofS S and and the power %3D set P(S). (;
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Q: 5. (a) How many functions are there from a set with n elements to a set with m elements?
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Q: e. If x is a subset of V of cardinality 2, then f (x) is the edge connecting the two vertices in x.
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Q: Establish the following cardinality equalities, exhibiting a bijection in each case. Justify your…
A: This question is related to function mapping.
Q: Any two closed intervals has the different cardinality
A: we know that any two closed intervals has the same cardinality
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Q: Consider the Venn diagram shown below. Determine the following cardinalities. n(A)= ? n(C¯)= ?…
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Q: ave a class boundary that is less than zero? On the probelem I am working, the class goes from 0-5
A: Class boundaries are the values which help in separating the data points in statistics.
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A: The detailed solution is as follows below:
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