5. Construct a smallest binary relation S defined on the set {w,r, y, z} such that S satisfies all of the following requirements: • S contains (r, y). • S is not transitive. • Sis not antisymmetric. • S is not symmetric. |S| is even.

5. Construct a smallest binary relation S defined on the set {w,r, y, z} such that S satisfies all of the following requirements: • S contains (r, y). • S is not transitive. • Sis not antisymmetric. • S is not symmetric. |S| is even.

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

5.
Construct a smallest binary relation S defined on the set {w, r, y, z} such
that S satisfies all of the following requirements:
• S contains (r, y).
• is not transitive.
• Sis not antisymmetric.
• is not symmetric.
• IS| is even.

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