mathsnoob1
New member
- Joined
- Aug 12, 2017
- Messages
- 4
Hello,
I've spent the last 5 hours solving a lot of false\true questions and i got several of which i am not sure. hoping you could help me with those:
(just tell me if you think the claim is true or false. it'd be very helpful if you can include a short explanation to help me understand and improve)
1)if R i a relation of A so
if and only if range(R) = A.
2)if R i a relation over set A and if
then range(R) = A.
3)for every relation R:
(really not sure about this one)
4)if R, S are relations over A so that SR = RS, so
5)if R is a reflexive relation over set A then
6)if R is anti symmetric then
is antisymmetric (seems true and trivial, but i'm really not sure)
7)for every relation R, the relation
is transitive (seems true, is it?)
i've spent the last hours solving dozens of true\false and i'm not sure regarding those i've written. my due date is in a day and a half, so i'm hoping you could aid me with those.
if you can, in addition to writing if it's true or not, please give a little summary of the answer to help me understand better.
thank you very much for your help, i've been doing those for so many hours until i found this great place!
note: i don't know how to type math formulas, so i googled for mathjax tutorial and tried my best.
thanks again!
I've spent the last 5 hours solving a lot of false\true questions and i got several of which i am not sure. hoping you could help me with those:
(just tell me if you think the claim is true or false. it'd be very helpful if you can include a short explanation to help me understand and improve)
1)if R i a relation of A so
Code:
R^(-1)R=I_(A)
2)if R i a relation over set A and if
Code:
RR^(-1)=I_A
3)for every relation R:
Code:
RR^(-1)=R^(-1)R
4)if R, S are relations over A so that SR = RS, so
Code:
S^(-1)R= RS^(-1)
5)if R is a reflexive relation over set A then
Code:
RR^(-1)=I_A
6)if R is anti symmetric then
Code:
R^(-1)
7)for every relation R, the relation
Code:
R \cup R^2
i've spent the last hours solving dozens of true\false and i'm not sure regarding those i've written. my due date is in a day and a half, so i'm hoping you could aid me with those.
if you can, in addition to writing if it's true or not, please give a little summary of the answer to help me understand better.
thank you very much for your help, i've been doing those for so many hours until i found this great place!
note: i don't know how to type math formulas, so i googled for mathjax tutorial and tried my best.
thanks again!