SOLUTION: The relation ⋆ is defined on the set N by x⋆y if and only if every divisor of x is a divisor of y. a)Is ⋆ reflexive? b)Is ⋆ symmetric? c)Is ⋆ anti-symmetric? d)Is

Algebra ->  sets and operations -> SOLUTION: The relation ⋆ is defined on the set N by x⋆y if and only if every divisor of x is a divisor of y. a)Is ⋆ reflexive? b)Is ⋆ symmetric? c)Is ⋆ anti-symmetric? d)Is      Log On


   

Question 1201715: The relation ⋆ is defined on the set N by
x⋆y if and only if every divisor of x is a divisor of y.
a)Is ⋆ reflexive?
b)Is ⋆ symmetric?
c)Is ⋆ anti-symmetric?
d)Is ⋆ transitive?
e)Is ⋆ an equivalence relation, a partial order, both or neither?
Thanks in advance!
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

An inquisitive student should solve such problems independently
- otherwise, how else he (or she) will develop his (or her) mind ?


// of course, if he (or she) in reality has such a goal - to develop his (or her) mind,
     which is not obvious for advance.


At least, he (or she) must make first step/steps on his (or her) own.