Question

does anyone know anything about relations and the transitive property

Answer 1

What is the specific question?

Answer 2

well could you explain it please? say i have a set of A {1,2,3,4}
and R1 = {(a,b)| a is less than equal to b
and you have to find out if its transitive or not

Answer 3

Do you know the transitive property of equality? R1 is not the same but is the same concept.

Answer 4

ehh nt really.. what is that?

Answer 5

If x = y and y = z, then x = z.

Answer 6

ohh yes i know about that i just never knew it was called that..

Answer 7

ehh yeah i get that concept but what happens when you have sets such as (1,1) (1,2) and so forth till (4,4)

Answer 8

In this problem, I think the task is to test:

If a≤ b and b ≤ c, then is it true that a ≤ c? For a, b, and c, use the 4 numbers in set A.

Answer 9

We have to test in this way;

If 1≤ 3 and 3 ≤ 4, then is it true that 1 ≤ 4 ? If that is true for the numbers in set A, then the R1 is a transitive property for the set A.

Answer 10

yes

Answer 11

but

Answer 12

okay i get you i understand now thanks

Answer 13

Check this:

Transitive Property of Inequalities

Any of the following properties:

If a < b and b < c , then a < c.
If a ≤ b and b ≤ c , then a ≤ c.
If a > b and b > c , then a > c.
If a ≥ b and b ≥ c , then a ≥ c.

Note: This is a property of equality and inequalities. One must be cautious, however, when attempting to develop arguments using the transitive property in other settings.

Here is an example of an unsound application of the transitive property: "Team A defeated team B, and team B defeated team C. Therefore, team A will defeat team C."

http://www.mathwords.com/t/transitive_property_inequalities.htm

Answer 14

The transitive property of inequality holds for all real numbers. It will hold for the set you are given in this problem.

Answer 15

preciate it.. are you a teacher of discrete math because i will have sooooo many more problems to ask for help ..

Answer 16

I will help you as much as my knowledge allows.
On the question you had about a 2-member set " (1,1)" --- the transitive property of inequality would go as follows.

If 1 ≤ 1 and 1 ≤ 1, then is 1 ≤ 1? The answer is yes. I know that sounds crazy and unnecessary but when the set contains one element, in this case, just the "1" that is the only set member that can be tested. Note: the set consisting of {1,1} is the same as the set {1}.

Answer 17

Cool thanks alright well im gonna call it a night now but tomorrow ill definitely be on here for help

Answer 18

See you then.

Answer 19

btw what does it mean when they say be careful people call you? im new to this

Answer 20

I don't know. Do you mean as in calling somebody "bro" or "sis" or calling as on the phone or whatever?

Answer 21

There's a code of conduct for this site. People who act the fool are thrown off.

Answer 22

oh okay ight then

Answer 23

If I refer to anybody, I just write "you" or the person's user id. So, if I called you anything, it would be Zaeboi222 or maybe just Zaeboi.