Show which of each of the three properties "reflexive, symmetric, and transitive" apply to each of the following relations. а. R is the relation on the natural numbers N given by xRy x|y "x divides y". b. X is a set and R is the C subset relation. S is the set of people in the school. R is a relation on S such that xRy = "x likes y". С.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Show which of each of the three properties "reflexive, symmetric, and transitive" apply to each
of the following relations.
R is the relation on the natural numbers N given by xRy x | y "x divides y".
b. X is a set and R is the C subset relation.
S is the set of people in the school. R is a relation on S such that
а.
С.
xRy + "x likes y".
Transcribed Image Text:Show which of each of the three properties "reflexive, symmetric, and transitive" apply to each of the following relations. R is the relation on the natural numbers N given by xRy x | y "x divides y". b. X is a set and R is the C subset relation. S is the set of people in the school. R is a relation on S such that а. С. xRy + "x likes y".
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