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: 3. Prove the statement "6 divides n³ - n for all integers n> 0".

A: We need to prove that 6 divides n3-n for all integers n≥0.

Q: What is the m<a if m<b is 54 degrees? a. A 126 degrees B 36 degrees 46 degrees D 26 degrees

A:

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 =…

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Q: 2. U={x|x is an integer, 2<x<10}. A and B are subsets of U such that A= {multiples of 3}, B={factors…

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Q: -1<9+n<7

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

Q: H.W. Evaluate the following expressions for m= 6, n=2, a 0, b 0, c 0, d-0, and e-0 (i) a+=4+ ++m*n ;…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: 4. Evaluate using the order of operations." 5(12-5)+13 6+2 5.25 O 6 12.5

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A: Solution: BOYS: Possible combinations of 3 boys from 6 boys ; =C36 =6!3!x6!-3!=6!3!3!…

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A: The total number of ways arranging 2 people at any of the seat is as follows:

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…

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

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A: Please see the below picture for detailed solution.

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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…

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Q: Which number line models the sum of 0.5+ (-2) 0 3 ++> 3 |||||||> 2 3

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Q: Every none-empty subset of integer numbers contains a least element. صواب ihi

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

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Q: (d) Show that for all integers n > 1 S(n, 1) = 1 = S(n,n), then, using the above relation (or…

A: Given: n≥1 To find Sn,1=1=Sn,n and show that S4,2=7

Q: 4. Let a be an odd integer. Show that (i) 8| a² – 9; (ii) 16 | aª – 81.

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

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A: Thank you 😊

Q: 3) Two points are plotted on the number line below. 十+ -10 -9 -8 -7-6 -5-4 -3-2-1 十十+ 1 3 10 Which…

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Q: Given that 1+ 2+3+..+n = n(n+1) 2 , then the sum 50 + 51 + 52+...+ 70 =

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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.

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

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

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

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A: Let n be a positive integer and X a set of n-tuples of natural number . We say that X is diophantine…