Q: Let S = {1,2,5,6 } Define a relation R on S of at least four order pairs, as (a,b

[sMilips]

Q: Let S = {1,2,5,6 }
Define a relation R on S of at least four order pairs, as (a,b)  R iff a*b is even (i.e. a multiply by b is even)

 

[Dr.Peterson]

Q: Let S = {1,2,5,6 }
Define a relation R on S of at least four order pairs, as (a,b)  R iff a*b is even (i.e. a multiply by b is even)

This question appears to be incomplete. Please correct it.

 

[JeffM]

Q: Let S = {1,2,5,6 }
Define a relation R on S of at least four order pairs, as (a,b)  R iff a*b is even (i.e. a multiply by b is even)

In addition to correcting the statement of the problem, please read

https://www.freemathhelp.com/forum/threads/112086-Guidelines-Summary?p=433156&viewfull=1#post433156

In line with those guidelines, please tell us what you have tried or where your difficulty is.

 

[Steven G]

Q: Let S = {1,2,5,6 }
Define a relation R on S of at least four order pairs, as (a,b)  R iff a*b is even (i.e. a multiply by b is even)

R= {(1,2), (5,2), (6,2), (6,1), (6,6)} Is this what you want? If so, where did you get stuck??

 

[pka]

Q: Let S = {1,2,5,6 }
Define a relation R on S of at least four order pairs, as (a,b)  R iff a*b is even (i.e. a multiply by b is even)

Do you realize that \(\displaystyle (x,y)\in R\iff x\text{ or }y \text{ is even }.\)
So you explain why \(\displaystyle R=[S\times\{2,6\}]\cup[\{2,6\}\times S]\) is a complete description of \(\displaystyle R\).

 

[Steven G]

Do you realize that \(\displaystyle (x,y)\in R\iff x\text{ or }y \text{ is even }.\)
So you explain why \(\displaystyle R=[S\times\{2,6\}]\cup[\{2,6\}\times S]\) is a complete description of \(\displaystyle R\).

Wouldn't R be a subset of \(\displaystyle [S\times\{2,6\}]\cup[\{2,6\}\times S]\)??

 

[sMilips]

R= {(1,2), (5,2), (6,2), (6,1), (6,6)} Is this what you want? If so, where did you get stuck??

Is it correct and complete answer?

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[sMilips]

In addition to correcting the statement of the problem, please read

https://www.freemathhelp.com/forum/threads/112086-Guidelines-Summary?p=433156&viewfull=1#post433156

In line with those guidelines, please tell us what you have tried or where your difficulty is.

I want the complete solution of this question.

Sent from my SM-G610F using Tapatalk

 

[Dr.Peterson]

Wouldn't R be a subset of \(\displaystyle [S\times\{2,6\}]\cup[\{2,6\}\times S]\)??

I think that's because of the "iff".

My reason for supposing that the problem is incomplete (aside from the bad character) was that they have fully defined the relation; so either they are just asking to list the elements of R, or they want you to determine something specific about it that was not included.

In particular, the phrase "of at least four ordered pairs" seems unnecessary.

 

[Steven G]

I think that's because of the "iff".

My reason for supposing that the problem is incomplete (aside from the bad character) was that they have fully defined the relation; so either they are just asking to list the elements of R, or they want you to determine something specific about it that was not included.

In particular, the phrase "of at least four ordered pairs" seems unnecessary.

OK, thanks