Expressing  "not greater/less than" and "greater/less than or equal to"


I'm having trouble coming up with a way of saying "not greater than 0" and
"not less than 0".

Would the following sentences be natural/grammatical? If not, in what ways can
the following be expressed?

  * greater than 0/less than 0

> 0より大きい/0より小さい

  * greater than or equal to 0/less than or equal to 0

> 0以上である/0以下である

  * not greater than 0/not less than 0

> 0以上ではない/0以下ではない

Space ALC says that [greater than or
equal](http://eow.alc.co.jp/greater+than+equal/UTF-8/) is `～以上で` and [less
than or equal](http://eow.alc.co.jp/less+than+equal/UTF-8/) is `以下の`.

I thought that `以上` meant "above" and `以下` "below". If that's the case, is
there any way to tell that usage and their usage as "greater/less than or
equal" apart?




There are two ways of answering this question. Are you looking for
mathematical terms for 'not greater/less than' and 'greater/less than', or
ways of expressing this in more general conversation?

Mathematically, the greater than symbol ＞ is pronounced 大なり（だいなり） and the less
than symbol ＜ is pronounced 小なり（しょうなり）. The greater than or equal sign ≧ is
pronounced 大なりイコール and the less than or equal sign ≦ is pronounced 小なりイコール.

In terms of daily conversation, I think you pretty much have it. より大きい and
より小さい do _not_ include the value being used for the comparison, while 以下 and
以上 do. Although keep in mind that this is a dictionary definition, and my
experience is that in normal daily conversation they tend to be used a bit
interchangeably without paying too much attention to that specific detail.

Also there is the term 未満（みまん）, which you can use as a 'less than' term that
doesn't include the number being used. Example: １８歳未満禁止（じゅうはっさいみまんきんし） means
'no admittance to those under 18'.




There are two ways of answering this question. Are you looking for
mathematical terms for 'not greater/less than' and 'greater/less than', or
ways of expressing this in more general conversation?

Mathematically, the greater than symbol ＞ is pronounced 大なり（だいなり） and the less
than symbol ＜ is pronounced 小なり（しょうなり）. The greater than or equal sign ≧ is
pronounced 大なりイコール and the less than or equal sign ≦ is pronounced 小なりイコール.

In terms of daily conversation, I think you pretty much have it. より大きい and
より小さい do _not_ include the value being used for the comparison, while 以下 and
以上 do. Although keep in mind that this is a dictionary definition, and my
experience is that in normal daily conversation they tend to be used a bit
interchangeably without paying too much attention to that specific detail.

Also there is the term 未満（みまん）, which you can use as a 'less than' term that
doesn't include the number being used. Example: １８歳未満禁止（じゅうはっさいみまんきんし） means
'no admittance to those under 18'.

