2. What is the sum of all positive integers n that satisfy the inequality 7 n 20 ? 18 5 7 (A) 25 (B) 56 (C) 78 (D) 104 (E) 105 O A O B O c O E Clear selection

Q: 4. x and y are two positive integers. (x,y) = 5, Icm (x,y) = 200 and 15, find x and y. gcd x - y =

A: Given that     gcd(x,y) = 5 ;   lcm(x,y) = 200   and  x-y = 15 Formula :     xy =…

Q: - Use mathematical induction to prove the following inequality (1+x) ≥ 1+ Nx when x>-1 for all…

A:

Q: -1<9+n<7

A: Given,           -1 &lt; 9 + n &lt; 7

Q: a) Is (−3)! possible? Explain your answer.  b) In how many ways can you order an empty list or zero…

A: a.(-3)! is not possible only the factorial of whole numbers are possible. Main use of factorial is…

Q: If any subset of size six is chosen from the set S = {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4), then prove…

A:

Q: Find a Big-O estimate of (2n+n2)(n3+3n)

A: Given the given expression is 2n+n2n3+3n. Big-O notation: the fn is Ogn for positive constant C and…

Q: Suppose I choose two numbers from the set {1, 2, 3,... 100}. How many have an even sum? Show all…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: UCLA: You are in your dark room, and want to grab some pairs of socks. You remember you have n pairs…

A:

Q: nows not only that 5 + 2 is 7, +2 or 2 + 5. 0 +1, 10 + 2, 10 + 3, ..., 10 + 10. The doubles 1 + 1, 2…

A:

Q: P(n, r) C(n, r) None of these n! (n - r)! Or! ||

A:

Q: (0. }). (c) C = {p : p is prime). (d) D = (-0, –1). (a) A = (b) B = {-1,1}.

A: A countable set is a set with the same cardinality as some subset of the set of natural numbers. A…

Q: How many pairs of two distinct integers chosen from the set {1, 2, 3, . . . , 101} have a sum that…

A: Thank you 😊

Q: How do I prove: If n is a natural number and d|n prove that d ≤ n.

A: How do I prove: If n is a natural number and d|n prove that d ≤ n.

Q: Determine the set of values of n for which n²-1 n² +1 and are positive integers. 2 2

A: First, we simplify the given expressions. The expression 2/2 simplifies to 1, which is a positive…

Q: (9) √25 N OZ OQ Q OR XRR (h) 1,000 N Z OR (i) ON no R × 300000

A: Here we will use the concept of the numbers We know that all set of numbers are subset of the set…

Q: Consider the inequality -1sn<5 Select the two lists of integer values of n in which all the values…

A: Given -1≤n&lt;5

Q: *17) WHICH FIGURE IS LEAST LIKE THE OTHER FOUR? Select the letter of the figure that is most…

A: B is least like other four

Q: How many numbers of four digits can be formed with the digits 0, 1, 2, 3 (repetition of digits is…

A: The digits given are 0,1,2 and 3.Here the repetition of digits is not allowed.We need to find the…

Q: (8)Explain why: (a) Every rational number is an algebraic number (b) Z is not an open set (c) The…

A: Hello, thanks for your question . But according to our guidelines I m answering the first three…