Consider the claim "if nm is not divisible by 3, then neither n nor m is divisible by 3." Match each of the following statements to their format: if nm is divisible by 3, then both n and m are divisible by 3. if n or m is divisible by 3 then nm is divisible by 3 if neither n nor m is divisible by 3 then nm is not divisible by 3. if both n and m are divisible by 3 then nm is divisible by 3 1. contrapositive 2. converse 3. 4. neither the contrapositive nor the inverse both the contrapositive and the inverse
Consider the claim "if nm is not divisible by 3, then neither n nor m is divisible by 3." Match each of the following statements to their format: if nm is divisible by 3, then both n and m are divisible by 3. if n or m is divisible by 3 then nm is divisible by 3 if neither n nor m is divisible by 3 then nm is not divisible by 3. if both n and m are divisible by 3 then nm is divisible by 3 1. contrapositive 2. converse 3. 4. neither the contrapositive nor the inverse both the contrapositive and the inverse
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:Consider the claim "if nm is not divisible by 3, then neither n nor m is divisible by 3."
Match each of the following statements to their format:
if nm is divisible by 3, then
both n and m are divisible
by 3.
if n or m is divisible by 3
then nm is divisible by 3
if neither n nor m is
divisible by 3 then nm is
not divisible by 3.
if both n and m are divisible
by 3 then nm is divisible by
3
1. contrapositive
2. converse
3.
4.
neither the contrapositive nor the
inverse
both the contrapositive and the
inverse
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