A relation R is defined on Z by xRy if 3x + y ≡ 0 (mod 4). Prove R is an equivalence relation. Determine the distinct equivalence classes.
Added by William O.
Step 1
Reflexivity: For any integer x, we have 3x + x = 4x ≡ 0 (mod 4), so xRx. Show more…
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