Aisa set of mè 1 positive integers. Show that exists a non-em pty that the sum of all elements of B is divisible by m (consider A = elements. Considering B= (3,14,18), we have 3+14+18=35, being o [Suggestion: Considering A= (a., a. .... a-), suppose that no sum of

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Q: (m+1)(n+. b. Let A = (1, 5, 7, 25, 35, 49, 175, 245, 1225) be the set of positive divisors of…

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Q: Let c, a, B be nonzero real numbers such that c + B. Find a given that 22n-3 12 00 ac? cn 4 Türkçe:…

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Q: Use these sum of even integers: 6 +26 = 32 4+ 24 = 28 Conjecture: the sum of any two even integers…

A: We need to write down the conjecture mentioned above.

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Q: * 63. Let a¡, az» ·… , A, be positive real numbers. The arith- metic mean of these numbers is…

A: The arithmetic mean AM=a1+a2+...+annThe geometric mean GM=(a1,a2...,am)1n We need to show A≥G.

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A: We have to use proper manipulation.

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Q: The numbers in the set e{xIx = a/b , where a, b are integers and b ≠ 0 } are called ________…

A: The numbers in the set x x=ab, where a, b are integers and b≠0 are called ________ numbers.

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A: Given x∈ℤ, n,m ∈ℕ xnm=x·x·x·x·x·⋯·x⏟m                         n times…

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A: Let A={2,3,4}    B={5,6,7} U={1,2,3,4,5,6,7} Now, A'={ 1,5,6,7}  B' ={1,2,3,4} Now,…

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Q: Don't use chat gpt

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A: (d) let for all integers a,b,c if a|b or a|c so a|b or a|c ⇔b = ak1 or  c = ak2  for some integers…

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A: As per the question we are given the least common multiple of two integers a, b as : l = ab/gcd(a,b)…