3. Prove indirectly. Let Q = {n/m | m,n E Z and m # 0}, and I = R – Q. If r e Q and sE I, then 2r – 3s € I.
3. Prove indirectly. Let Q = {n/m | m,n E Z and m # 0}, and I = R – Q. If r e Q and sE I, then 2r – 3s € I.
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:3. Prove indirectly
Let Q = {n/m | m, n E Z and m +
0}, and I = R – Q. Ifr e Q and s E I, then 2r – 3s EI.
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