Find the following cardinalities: a. A when A= {5, 6, 7, 8, ..., 34}. b. A when A= {x € Z : −6 ≤ x ≤ 92}. c. |An B| when A = {x € N : x ≤ 24} and B = {x € N : x is prime}

Q: Express the following, denoted in red, in interval or set notation -6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9

A: In mathematical notation, open intervals and closed intervals are denoted using brackets and…

Q: 3. Let a, b, c, d be real numbers with a < b and c < d. Find a one-to-one correspondence between (a,…

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Q: For the set ?={−3,0,57,−8‾√,2.314520968724609....,14}A={−3,0,57,−8,2.314520968724609....,14}.…

A: Given :A=-3,0,57,-8,2.314520968724609...,14To indentify those that are…

Q: Let the universal set R, the set of real numbers. Let A = {x = R | 1 ≤ x6} {x = R | x 6} {x ER 1≤ x…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Let the universal set R, the set of real numbers. Let A = {x = R | 1≤x6} ○ {xER|x6 } ○ {x ER 1≤ x…

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Q: 2. Show that Z has the same cardinality as the set O of odd integers.

A: Given below the detailed solution

Q: 1. A = {2,5 – 7} and B = {a, k, u, j}. What is A x B? 2. U = {11, 22, 33, 44, 55}. V = {1, 2, 3, 4}.…

A: As per guidelines, I can answer only one question.

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: For following determine whether statement is true or false. 1. Cardinality of an interval (0,10) is…

A: (1) The statement, "Cardinality of an interval 0,10 is same as the cardinality of an interval…

Q: What is the cardinality of the set D = {x | x is a letter in the word "apple"}?

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Q: 1. Let the universal set be R, the set of all real numbers, and let A = R| – 12 < x < 3}, B = {x € R…

A: According to our guidelines we can answer only first three sub-parts.

Q: Prove: For all integers n, if (n + 1)2 is an even number, then n is an odd number. ii. Prove the…

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Q: Given the following relations on the set of all people. Check ALL correct answers from the following…

A: Let R be a relation on S, then R is calledReflexive: if Symmetric: if Antisymmetric:Transitive: If…

Q: Let the universal set R, the set of real numbers. Let A= {x = R| 1≤x6 } {xЄR|x6} O {x ER 1≤x≤6} ○…

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Q: Find the following cardinalities: a. A = {5, 10, 15, ..., 75} |A| = b. A = {x € Z: - 100 ≤ x ≤ - 17}…

A: We have to find the cardinality of the following setsWe know thatThe cardinality of the set is the…

Q: 1. List the elements of each of the following sets by using the roster method. (a) the set of all…

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Q: 2.4. Let A and B be sets of real numbers, let f be a function from R to R, and let P be the set of…

A: As per the policy, we are solving three parts. Please repost it and specify which part is to be…

Q: 11. Show that the set of real numbers with the usual topology is not homeomorphic to the R set of…

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Q: R.3. Let [a, b] be an interval on the real number line (with a < b). Prove that a,b]-[0,1].

A: We have to find a continuous bijective from a,b to 0,1 to show that a,b~0,1

Q: A. Let A = {x ∈ N | x = y^2 such that y ∈ N and 2 ≤ y ≤ 7}     B = {x ∈ N | x = 5y, such that y ∈ N…

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Q: Determine the real limits of the following numbers or intervals. a. 5.05 b. 43.2 - 45.1 C. 390.544 -…

A: Real limits for a ) ( 5.05-0.005)          Real limits is 5.005   b ) ( 43.2-0.05, 45.1+0.05)…

Q: Find the least element of each of the following sets, if there is one. If there is no least element,…

A: As per our company guidelines we are supposed to solve first three subparts of a question so repost…