Question: Consider the set of students in a class. Which of the following relationships are equivalence relations? Explain each answer in at least a sentence. (a)

Consider the set of students in a class. Which of the following relationships are equivalence relations? Explain each answer in at least a sentence.
(a) Two students x, y are related if x has taken at least as many math classes as y.
(b) Students x, y are related if they have names that start with the same letter.

Step by Step Solution

3.55 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To be an equivalence each relation must be reflexive symmetr... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

961-M-L-A-L-S (5132).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!