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Prove that if n is an integer and 3n+2 is even, then n is even using a proof by contradiction. Rank the options below. As 3n is even and n is odd, 3n- n should be odd, but 3n-n= 2n is even. This is a contradiction. Since 3n+2 is even, so is 3n. Suppose that 3n+2 is even and that n is odd. We know that if we subtract an odd number from an even number, we get an odd number. Therefore, our supposition was wrong; hence n is even.

Prove that if n is an integer and 3n+2 is even, then n is even using a proof by contradiction. Rank the options below. As 3n is even and n is odd, 3n- n should be odd, but 3n-n= 2n is even. This is a contradiction. Since 3n+2 is even, so is 3n. Suppose that 3n+2 is even and that n is odd. We know that if we subtract an odd number from an even number, we get an odd number. Therefore, our supposition was wrong; hence n is even.

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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NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the statement that min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and care real numbers. Identify the set of cases that are required to prove the given statement using proof by cases. (You must provide an answer before moving to the next part.) Multiple Choice O O. O a<b<c, a≤ c≤ b, b<a<c, b< c≤ a, c<a<b, c < b <≤a a<b<c, a<c<b, b<a<c, b<c<a, c<a<b, c < b <a. a>b≥c, a>c> b, b≥a ≥c, bzcza, c> a>b, c>b>a. a>b>c, a>c>b, b>a>c, b> c> a, c>a>b, c>b> a
Transcribed Image Text:NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the statement that min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and care real numbers. Identify the set of cases that are required to prove the given statement using proof by cases. (You must provide an answer before moving to the next part.) Multiple Choice O O. O a<b<c, a≤ c≤ b, b<a<c, b< c≤ a, c<a<b, c < b <≤a a<b<c, a<c<b, b<a<c, b<c<a, c<a<b, c < b <a. a>b≥c, a>c> b, b≥a ≥c, bzcza, c> a>b, c>b>a. a>b>c, a>c>b, b>a>c, b> c> a, c>a>b, c>b> a
ent 2: Secs 1.7-1.8 i Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Prove that if n is an integer and 3n+2 is even, then n is even using a proof by contradiction. Rank the options below. As 3n is even and n is odd, 3n- n should be odd, but 3n - n = 2n is even. This is a contradiction. Since 3n+ 2 is even, so is 3n. Saved Suppose that 3n+2 is even and that n is odd. We know that if we subtract an odd number from an even number, we get an odd number. Therefore, our supposition was wrong; hence n is even.
Transcribed Image Text:ent 2: Secs 1.7-1.8 i Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Prove that if n is an integer and 3n+2 is even, then n is even using a proof by contradiction. Rank the options below. As 3n is even and n is odd, 3n- n should be odd, but 3n - n = 2n is even. This is a contradiction. Since 3n+ 2 is even, so is 3n. Saved Suppose that 3n+2 is even and that n is odd. We know that if we subtract an odd number from an even number, we get an odd number. Therefore, our supposition was wrong; hence n is even.
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