can someone please help me solve these:
consider a set S of all students, taking some courses chosen from a set of C courses: what are the binary relations?
R1= (S1,S2) : S1 and S2 take all the same courses together
R2=(S1,S2) : s1 and S2 take some courses together
are either equivalence relations too?
thanks a lot i would appreciate the help ^_^
An equivalence relation must have three properties:
a) xRx for all x in the set. (reflexive property)
b) If xRy then yRx. (symmetric property)
c) If xRy and yRz then xRz. (transitive property).
You might want to take a close look at the transitive property for the relations you give.