Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider these statements about the real number: (i) x is rational. (ii) x/2 is rational. (iii) 3x-1 is rational. he steps in correct order to prove that (iii) implies (i). Rank the options below. Hence, x is rational. Then, x= (p/q+1)/3 = (p+q)/(3q). Suppose 3x-1 is rational. So, 3x-1= p/q where p and q are integers with q # 0.
Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider these statements about the real number: (i) x is rational. (ii) x/2 is rational. (iii) 3x-1 is rational. he steps in correct order to prove that (iii) implies (i). Rank the options below. Hence, x is rational. Then, x= (p/q+1)/3 = (p+q)/(3q). Suppose 3x-1 is rational. So, 3x-1= p/q where p and q are integers with q # 0.
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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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.
Consider these statements about the real number:
(i) x is rational.
(ii) x/2 is rational.
(iii) 3x - 1 is rational.
Put the steps in correct order to prove that (iii) implies (i).
Rank the options below.
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Hence, x is rational.
Then, x = (p/q+1)/3 = (p+q) / (3q).
Suppose 3x- 1 is rational.
So, 3x-1= p/q where p and q are integers with q # 0.
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Transcribed Image Text:Secs 1.7-1.8
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Required information
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Consider these statements about the real number:
(i) x is rational.
(ii) x/2 is rational.
(iii) 3x-1 is rational.
ut the steps in correct order to prove that (ii) implies (iii).
You must provide an answer before moving to the next part.)
Rank the options below.
Then, x = (2p)/q, so 3x-1= (6p)/q-1= (6p-q)/q.
Hence, 3x - 1 is rational.
So, x/2 = p/q. Since q # 0.
Suppose x/2 is rational.
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