Relations and Functions - Inverse Relations Question
Let S = {a,b,c,d,e} be a set of senators and P = {w,x,y,z} be a set of policies. Let RCS*P be the relation defined by sRp if s supports p.
Q1: Define the inverse relation: R^(-1)
my answer: R^(-1) = {(p,s) (element of) P*S; (s,p) (element of) R}
Q2: What does pR^(-1)s mean?
my answer: pR^(-1) s means sRp
Q3: What is {s (element of) S; pR^(-1) s}
Don't know the answer to this one.
Are my first two answers correct, and how would I answer the third question? Thanks in advance.
Re: Relations and Functions - Inverse Relations Question
Quote:
Originally Posted by
maclunian 
Q1: Define the inverse relation: R^(-1)
my answer: R^(-1) = {(p,s) (element of) P*S; (s,p) (element of) R}
Correct.
Quote:
Originally Posted by
maclunian Q2: What does pR^(-1)s mean?
my answer: pR^(-1) s means sRp
I think the question asked to describe the relation 
in words, similar to how 
means "s supports p."
Quote:
Originally Posted by
maclunian Q3: What is {s (element of) S; pR^(-1) s}
Don't know the answer to this one.
If you do Q2, then it is easy to describe the set 
in words for each particular 
.
