Find the least element of each of the following sets, if there is one. If there is no least element, enter "none". a. {n EN: n²-2 ≥ 4}. b. {n EN:n²-6 € N}. c. {n² + 5:n € N}. d. {n EN: n=k² + 5 for some k € N}.

Q: Let a, b, c be three consecutive odd nubmers, with a < b < c. What is the  value of a2−2b2+c2?

A:

Q: Find n(A) for the following set: b) A = { {0}, {1,2}, {3,4,5} }

A: Consider the given set A = {{0}, {1,2}, {3,4,5}}.

Q: d. | 5x6 +72-8

A:

Q: Find the number of elements of the set {n/n € Z,1 <n < 1000, 2 {n and 3 {n and 5 fn and 7 {n}.

A: By using set theoretic rules you can solve the given problem as follows :

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A: The set A has  1 element.The set B  has  3 element.The set C has 0 element.The set   D  had 1…

Q: If | A| = 2 and |B| = 6, what is |AU B|+|An B?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 12. {yly = x² - 1, x = integers}

A: {y/y=x2−1,x∈integer}

Q: 10:32 Let A 3 4 5 6 93 R=12 3 7 8 9 10 X

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Q: a. Use the formula S, = (a, + a,) to show that the sum of the first n positive integers is S, = (1 +…

A: The given formula is,

Q: Which of the following is/are correct for the set A which is the set of even numbers greater than…

A: Let A be the set of even integers greater than 20. Hence, set A={22,24,26,28,…}

Q: For how many n = {1, 2, ..., 695} is n a multiple of one a multiple of one or more of 8, 3, or 7?

A: In the range of [1, 695] the number of numbers divisible by an integer k =  represents the floor…

Q: Find n(A) for the set. A= {5, 5, 6, 6, 9, 9} O A. n(A) = 10 O B. n(A) = 3 O C. n(A)= 6 O D. n(A) = 5

A: We have to find nA for the set, A=5, 5, 6, 6,.....,9, 9 nA is the number of elements present in the…

Q: For how many n = {1, 2,…, 645} is n a multiple of one or more of 8, 7, or 3?

A: n belongs to (1,2,....645) is n a multiple of one or more of 8,7 or 3.

Q: b. Create an input-output table with the figure number and the number of tiles in each figure for…

A: