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Arrange the steps in the correct order to prove that if x is a real number and mis an integer, then [x+m] = Rank the options below. Suppose that [2] = n, where n is an integer. Using the property [2] = n if and only if n-1 < x≤ n again, we see that [x+m] =n+m= [x] + m. By using the property [2] = n if and only if n-1 < x≤ n, it follows that n-1 < x≤ n. [x] + m. Adding m to all three quantities in this chain of two inequalities shows that m+ n-15x+ m

Arrange the steps in the correct order to prove that if x is a real number and mis an integer, then [x+m] = Rank the options below. Suppose that [2] = n, where n is an integer. Using the property [2] = n if and only if n-1 < x≤ n again, we see that [x+m] =n+m= [x] + m. By using the property [2] = n if and only if n-1 < x≤ n, it follows that n-1 < x≤ n. [x] + m. Adding m to all three quantities in this chain of two inequalities shows that m+ n-15x+ m

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Arrange the steps in the correct order to prove that if x is a real number and m is an integer, then [x+m] = [x] + m. Rank the options below. Suppose that [x] = n, where n is an integer. Using the property [r]=n if and only if n-1< x≤n again, we see that [x+m] =n+m= [x] + m. By using the property [2] = n if and only if n-1 < x≤ n, it follows that n-1 < x≤n. Adding m to all three quantities in this chain of two inequalities shows that m+ n-15x+m<m+n. 1 3 4 2 X X X
Transcribed Image Text:Arrange the steps in the correct order to prove that if x is a real number and m is an integer, then [x+m] = [x] + m. Rank the options below. Suppose that [x] = n, where n is an integer. Using the property [r]=n if and only if n-1< x≤n again, we see that [x+m] =n+m= [x] + m. By using the property [2] = n if and only if n-1 < x≤ n, it follows that n-1 < x≤n. Adding m to all three quantities in this chain of two inequalities shows that m+ n-15x+m<m+n. 1 3 4 2 X X X
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. ∞ Identify U A; and A; for the given Ai, where i is a positive integer. i=1 i=1 A₁ = {i, i+1,i+2,...} arch Multiple Choice O O The union is N and the intersection is Ø. The union is N and the intersection is {0}. The union is Z* and the intersection is Ø. The union is Z* and the intersection is {0}. < Prev Hea S 18 19 15 - of 26 K Next > ********* Xx
Transcribed Image Text:Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. ∞ Identify U A; and A; for the given Ai, where i is a positive integer. i=1 i=1 A₁ = {i, i+1,i+2,...} arch Multiple Choice O O The union is N and the intersection is Ø. The union is N and the intersection is {0}. The union is Z* and the intersection is Ø. The union is Z* and the intersection is {0}. < Prev Hea S 18 19 15 - of 26 K Next > ********* Xx
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