Determine whether the relation ? on the set of all people is reflexive, symmetric, antisymmetric, and/or transitive, where (?, ?) ∈ ? if and only if a) ? is taller than ? b) ? and ? have a common grandparent

Determine whether the relation ? on the set of all people is reflexive, symmetric, antisymmetric, and/or transitive, where (?, ?) ∈ ? if and only if a) ? is taller than ? b) ? and ? have a common grandparent

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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Question

Determine whether the relation ? on the set of all people is reflexive, symmetric,
antisymmetric, and/or transitive, where (?, ?) ∈ ? if and only if
a) ? is taller than ?
b) ? and ? have a common grandparent

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Question Number 06 a) For the relation R on the set {1, 2, 3, 4}, decide whether it is reflexive, whether it is an equivalence relation. R = {(1,3), (1, 4), (2, 3), (2, 4), (3, 1), (3, 4)} b) Determine whether the graph is bipartite. od c) Draw these graphs i) W; ii) K4