True/False: {x}x is nat. numb. > 10 = {11, 12, 13,...}

[jkillings]

True or False and why?

{x}x is a natural number greater than 10 = {11,12,13...}

 

[tkhunny]

Re: College Algebra

You tell me.

What are the Natural Numbers?
Which of them are greater than 10?

 

[jkillings]

Re: College Algebra

The natural numbers are the counting numbers 1,2,3.... I was given the question on a homework assignment. My teacher said it was false and he wanted to know why. I say it is true because natural numbers are counting numbers that are infinite.
My answer is {11,12,13...} True

 

[stapel]

Looks "true" to me! :shock:

Eliz.

 

[Loren]

Re: College Algebra

I've been around a couple of days but the notation "{x}x" is either new to me or I have forgotten its meaning. What does it mean?

 

[tkhunny]

Re: College Algebra

Yes, Loren, I pondered on that a bit, as well, and really came to no secure conclusion.

If {x} means a set containing the value 'x', then we have a little problem with multiple set members.

Indeed, "x is a Natural Number" (emphasis added) seems to support this theory.

If a set has only one element, it would be difficult to be equivalent to the infinite set of Natural Numbers (missing the first 10, of course).

 

[mmm4444bot]

Re: College Algebra

... "{x}x" ...What does [this notation] mean?

After I read the statement, I assumed sloppy notation by the original poster.

I Replace {x} with "The set of all x such that", and I delete "= {11,12,13...}".

Otherwise, I don't understand.

~ Mark :?

 

[stapel]

I took the intended notation to be the "set-builder" notation of:

. . . . .{ x | x is a natural number greater than 10 }

I could be wrong, of course....

Eliz.