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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

sMilips

New member
Dec 2, 2018
3
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

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)
 

Olinguito

Well-known member
Apr 22, 2018
251
Re: 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*

Hi sMilips .

You want $(a,b)$ such that $ab$ is even. So $(2,1)$ is possible since $2\cdot1=2$ is even. But you don’t want $(1,5)$ because $1\cdot5=5$ is odd. Thus $(1,5)\notin R$ but $(2,1)$ can be in $R$ (it doesn’t have to but you can include it if you want). In general, if $ab$ is even, what can you say about one (possibly both) of $a$ and $b$?
 

sMilips

New member
Dec 2, 2018
3
Re: 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*

Plz type clear. Did not understand your answer.
 

Evgeny.Makarov

Well-known member
MHB Math Scholar
Jan 30, 2012
2,488
Re: 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*

Plz type clear. Did not understand your answer.
Please write the exact part in Olinguito's answer that you did not understand and why. Also, the answer in post 2 uses so-called LaTeX to show mathematical formulas. If they look garbled somehow on your device but the rest of the text looks OK, please say so. If there are other problems with displaying the thread, please describe it.