The relation S on Q (rational numbers) given by xSy if and only if x-y is an element of Q (rational numbers). Give the equivalence class of 0, 1, and sqrt 2. I do not have to prove the relation, I just have to give the equivalence class of 0, 1, and sqrt 2. I see the answers listed, but I do not understand how you got to those answers. [0]=Q [1]=0 sqrt 2={sqrt 2 + x: x is an element of Q}
The relation S on Q (rational numbers) given by xSy if and only if x-y is an element of Q (rational numbers). Give the equivalence class of 0, 1, and sqrt 2. I do not have to prove the relation, I just have to give the equivalence class of 0, 1, and sqrt 2. I see the answers listed, but I do not understand how you got to those answers. [0]=Q [1]=0 sqrt 2={sqrt 2 + x: x is an element of Q}
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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The relation S on Q (rational numbers) given by xSy if and only if x-y is an element of Q (rational numbers). Give the equivalence class of 0, 1, and sqrt 2.
I do not have to prove the relation, I just have to give the equivalence class of 0, 1, and sqrt 2. I see the answers listed, but I do not understand how you got to those answers.
[0]=Q
[1]=0
sqrt 2={sqrt 2 + x: x is an element of Q}
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