For each of the following relations ~ on sets X, determine whether it is reflexive, symmetric or transitive. Justify all that apply. a) X is the set of positive real numbers and x~y if x2
For each of the following relations ~ on sets X, determine whether it is reflexive, symmetric or transitive. Justify all that apply. a) X is the set of positive real numbers and x~y if x2
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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For each of the following relations ~ on sets X, determine whether it is reflexive, symmetric or transitive. Justify all that apply.
a) X is the set of positive real numbers and x~y if x2<y2-1
b) X is the set of geometric squares in the plane R2, and A~B if A and B both contain the origin.
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