Let s = { -10 >= x > 0 }: Find maxima and minima

[wheatwoman]

Let s = { -10 >= x > 0 }

xRy means |x| <= |y| ( | | = number of elements in )
what are the minima and maxima?
wouldn't the minima be 0 since it has the =?
and maxima be there are none since it goes to infinity?

Please help!
Thanks

 

[pka]

Re: Discrete Math Help!

Let s = { -10 >= x > 0 }
xRy means |x| <= |y| ( | | = number of elements in )

Sorry to say Lady, this question is meaningless.
-10 cannot be greater than 0.
Please try to correct and tell us what x & y are. It appears they may be sets??

 

[wheatwoman]

Re: Discrete Math Help!

Let S = { x:x element of Real numbers, -10 >= x >0 }. Let xRy mean that |x| <= |y|. R is a partial order. What are the minima and maxima of S under R? That is the question except they use symbols for element of, and real numbers. I just translated. Maybe the question is typed wrong on my paper.

 

[pka]

Re: Discrete Math Help!

Let S = { x:x element of Real numbers, -10 >= x >0 }. Let xRy mean that |x| <= |y|. R is a partial order. What are the minima and maxima of S under R? That is the question except they use symbols for element of, and real numbers. I just translated. Maybe the question is typed wrong on my paper.

There is no way that a competent mathematics lecturer would write such nonsense!
Please check with your instructor.

 

[wheatwoman]

Re: Discrete Math Help!

Can't get ahold of him. What it it is -10 <= x < 0 ? So the numbers between -10 and 0, including -10 but not including 0.

 

[mmm4444bot]

Re: Discrete Math Help!

... -10 <= x < 0 ... the numbers between -10 and 0, including -10 but not including 0.

Yes, what you typed above is correct for the set of real numbers between -10 and 0, including -10, but not including 0.

This same half-open set can be written in interval notation as [-10, 0).

Cheers,

~ Mark

 

[wheatwoman]

Re: Discrete Math Help!

Thank you!