1. Given U = {x|x is a counting number less than 10} A = {x|x is a prime number less than 10} B = {x]x is a positive divisor of 8} Find the elements of each set and find its cardinality. Elements Cardinality a. A' = b. B' = c. AU B = d. An B = e. A'U B' = f. (A U B)' = g. A'n B' = %3D

Q: Set A is the set of all natural numbers less than 30 that are divisible by 5.  Express the following…

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Q: For each given set, determine if the set is finite or infinite. If finite, give the cardinality. Set…

A: Cardinality = Number of elements in the set.

Q: Do A = {1,2,3, 4,...} and B = {-1,0,1,2, 3, 4, ...}have the same cardinality? O No because elements…

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Q: Select the following statements that are true. A and B are arbitrary sets. The cardinality of…

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Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of each…

A: n(A) = number of elements in the set A   n(A∩C) = number of elements common in the sets A and B.…

Q: Write each set using the roster method and find its cardinality C = {x|x is an even number and 15 <…

A: Given:  a. C={x | x is an even number and 15≤ x ≤29} b.  X={a|a∈ℤ, a is even, and |a|≤6}

Q: Let U= {1, 7, 6, 14, 5, 10, 20, 18) A = {1, 20, 18} C = {7, 6, 14, 5, 10} Find A U C'.

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Q: How many subsets of {0,1,...,10} have cardinality 1 or more?

A: Let  We have to find the number of subsets of that have cardinality 1 or more.We know thatIf A is…

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Q: Consider the sets A {r|a E Z,-2<r < 2} {2) C = {1,3, 5, 9, 11} D = {-2, –1,0, 1, 2} E = {a, b, c, d,…

A: topic - sets

Q: Let A = {1, 2, 3, 4, ..., 20}. What is the cardinality of the power set of A, P(A)?   Fill in the…

A: Cardinality of Set --: The Cardinality of a set is the total number of unique elements in the set.…

Q: 3. If A is a set, and |A| represents the cardinality of A, then use the definition of set A has the…

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Q: What is cardinality of |{{ A, B, },{1,3,5 }, {3}, { 2,3}, {1}}| ? O

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Q: (1) Let U = {1, 2, 3, ... , 9, 10} be the universal set. Let A = {x € U : x = 1 (mod 3)} and B = {x…

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Q: A 8 C 9 n (An Bc) = [ 8 3 5 6 13 B 8 9

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Q: Let U= {x|x EN and x<7) A = {x|x is an even natural number and x<7} B=(x|x is an odd natural number…

A: Given problem:- Let   U={x|x ∈ N and x &lt; 7} A={x|x| is an even natural number and x &lt; 7}…

Q: 3 B A C In a 3 circle Venn Diagram, if n(A) = 68, n(B) = 88, n(C) = 71, n(AnB)= 29, n(AnC) = 32,…

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Q: How many subsets of {0, 1, ..., 8} have cardinality 6 or more?

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Q: Let A and 8 be any sets. Then (A - (A N B) n (8 - (An5) - - (4ก (A ก อ) ก (8n (An ๒) -…

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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”.