Question
Take the same group of people and consider the relation "strictly taller than." Is this relation transitive? Is it reflexive? Is it complete?
Step 1
A relation is transitive if for any three elements a, b, and c, if a is related to b and b is related to c, then a is related to c. A relation is reflexive if every element is related to itself. A relation is complete if for any two distinct elements a and b, Show more…
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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?
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