Attachment 30720

I don't understand how to do this

I'm having difficulty studying discrete maths we've recently done relations but I don't know how to do this question

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- April 21st 2014, 02:45 AMsozener1how do you do this relation type question
Attachment 30720

I don't understand how to do this

I'm having difficulty studying discrete maths we've recently done relations but I don't know how to do this question - April 21st 2014, 03:24 AMromsekRe: how do you do this relation type question
do you understand what is meant by

reflexive

symmetric

anti-symmetric

transitive? - April 21st 2014, 05:05 AMsozener1Re: how do you do this relation type question
what do the arrows mean do you know??

- April 21st 2014, 05:26 AMromsekRe: how do you do this relation type question
- April 21st 2014, 05:45 AMHallsofIvyRe: how do you do this relation type question
This is

**your**problem and you say you have been studying "relations" so this graphic representation of relations should have been defined in your textbook. Also, there are several different notations used for relations, such as "R(x,y)= true" "x R y" and you did not say what notation you are used nor what definition of "relation" you are using.

The simplest definition of "relation of X with Y" I know is "a set of ordered pairs with the first member from set X and the second in Y".

Then we can represent each member of the relation as the ordered pair (x, y). The graphic representation has an arrow from x to y if and only if the pair (x, y) is in the relation.

So, in terms of ordered pairs, the first relation is {(a, a), (a, b), (a, d), (a, e), (b, a), (b, b), (b, d), (b, e), (c, c), (d, a), (d, b), (d, d), (d, e), (e, a), (e, b), (e, d), (e, e), (f, f), (f, h), (f, i), (g, g), (h, f), (h, h), (h, i), (i, f), (i, h), (i, i)}.

Now, can you answer the question romsek asked:

"do you understand what is meant by

reflexive

symmetric

anti-symmetric

transitive? "