By dragging statements from the left column to the right column below, construct a valide proof of the statement: For all integers n, if 19n is even, then n is even. The correct proof will use 3 of the statements below. Statements to choose from: Your Proof: Put chosen statements in order in this column and press the Submit Answers button. Let n be an arbitrary integer and assume n is odd. Let n be an arbitrary integer and assume 19n is even. 19n must be even Since 19 is odd and the product of odd numbers is odd, Since an even number divided by 19 must be even, 19n must be odd. n must be even Let n be an arbitrary integer and assume n is even. Since 19 is odd and the product of an odd number and an even number is even,
By dragging statements from the left column to the right column below, construct a valide proof of the statement: For all integers n, if 19n is even, then n is even. The correct proof will use 3 of the statements below. Statements to choose from: Your Proof: Put chosen statements in order in this column and press the Submit Answers button. Let n be an arbitrary integer and assume n is odd. Let n be an arbitrary integer and assume 19n is even. 19n must be even Since 19 is odd and the product of odd numbers is odd, Since an even number divided by 19 must be even, 19n must be odd. n must be even Let n be an arbitrary integer and assume n is even. Since 19 is odd and the product of an odd number and an even number is even,
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:By dragging statements from the left column to the right column below, construct a valid proof of the statement:
For all integers \( n \), if \( 19n \) is even, then \( n \) is even.
The correct proof will use 3 of the statements below.
**Statements to choose from:**
1. Let \( n \) be an arbitrary integer and assume \( n \) is odd.
2. Let \( n \) be an arbitrary integer and assume \( 19n \) is even.
3. \( 19n \) must be even.
4. Since 19 is odd and the product of odd numbers is odd,
5. Since an even number divided by 19 must be even,
6. \( 19n \) must be odd.
7. \( n \) must be even.
8. Let \( n \) be an arbitrary integer and assume \( n \) is even.
9. Since 19 is odd and the product of an odd number and an even number is even,
**Your Proof:** Put chosen statements in order in this column and press the Submit Answers button.
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