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,

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 42E
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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,
Transcribed Image Text: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,
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