"Such that"

elite-mathlete · 2010-01-07 11:27:28

Good thing I dug up my old account, I got College Algebra class.

Could anyone explain to me the concept of "Such that" which is this symbol: |

I understand where and how it's used, but the reasoning behind why it's called that has flown over my head.

elite-mathlete · 2010-01-07 11:45:31

For instance:

(2,9) {x|2<x<9}

Ricky · 2010-01-07 12:03:08

{x | 2 < x < 9}

When you read this out loud, it goes:

x is such that 2 is less than x and x is less than 9.

That's why we call '|' that symbol "such that".

elite-mathlete · 2010-01-07 13:06:10

So it's like "is" or "equals"?

Ricky · 2010-01-07 13:16:39

No, it's all numbers such that they satisfy the property 2 < x < 9. The left of the '|' is the place where your drawling your elements from (in this case, it's all numbers). The right of the '|' is the property that those elements must satisfy. For example:

This is all numbers x in the set [0, infinity) such that 1/x is greater than 1.

elite-mathlete · 2010-01-07 14:21:48

Ah I see, so it means "X could be anything that falls under these conditions", like a reversed if statement.

Last edited by elite-mathlete (2010-01-07 14:22:47)

Math Is Fun Forum

#1 2010-01-07 11:27:28

"Such that"

#2 2010-01-07 11:45:31

Re: "Such that"

#3 2010-01-07 12:03:08

Re: "Such that"

#4 2010-01-07 13:06:10

Re: "Such that"

#5 2010-01-07 13:16:39

Re: "Such that"

#6 2010-01-07 14:21:48

Re: "Such that"

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