Question
Consider a group of people $A, B, C$ and the relation "at least as tall as," as in "A is at least as tall as $\mathrm{B}$." Is this relation transitive? Is it complete?
Step 1
A relation is complete if, for any two elements in the set, one of them is related to the other or they are related to each other. In this case, for any two people A and B, either A is at least as tall as B, or B is at least as tall as A, or both. Therefore, the Show more…
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Consider a group of people A, B, and C and the relation "at least as tall as," as in "A is at least as tall as B." Is this relation transitive? Is it complete?
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