Take the same group of people and consider the relation "strictly taller than." Is this relation transitive? Is it reflexive? Is it complete?
Added by Richard R.
Step 1
Transitivity: For a relation to be transitive, if A is taller than B and B is taller than C, then A must be taller than C. In this case, if person A is strictly taller than person B, and person B is strictly taller than person C, then it follows that person A must Show more…
Show all steps
Your feedback will help us improve your experience
Haricharan Gupta and 84 other Microeconomics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Majid B.
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?
Which of these relations on the set of all people are equivalence relations? Determine the properties of an equivalence relation that the others lack. a) $\{(a, b) | a \text { and } b \text { are the same age }\}$ b) $\{(a, b) | a \text { and } b \text { have the same parents }\}$ c) $\{(a, b) | a \text { and } b \text { share a common parent }\}$ d) $\{(a, b) | a \text { and } b \text { have met }\}$ e) $\{(a, b) | a \text { and } b \text { speak a common language }\}$
Relations
Equivalence Relations
Recommended Textbooks
Principles of Economics
Principles of Microeconomics for AP® Courses
Economics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
