1. Determine whether the relation R defined on R by xRy iff x - y = q for some q € Q is reflexive, symmetric, transitive. Is it an equivalence relation? Mark and justify your answers. R is reflexive / not reflexive because R is symmetric / not symmetric because R is transitive / not transitive because R is an equivalence relation / not an equivalence relation
1. Determine whether the relation R defined on R by xRy iff x - y = q for some q € Q is reflexive, symmetric, transitive. Is it an equivalence relation? Mark and justify your answers. R is reflexive / not reflexive because R is symmetric / not symmetric because R is transitive / not transitive because R is an equivalence relation / not an equivalence relation
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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