What is the general term for "greater than or equal to" and "less than or equal to"?

We call this equation:

• `A = B`

We call this inequality:

• `A > B`
• `A < B`

What do we call this:

• `A ≥ B`
• `A ≤ B`

?

The first is "strict inequality" - greater than or less than.

The second is just called "inequality" - greater than or equal to or less than or equal to.

The reason being that A > B implies that A must be greater than B: there is no alternative to this statement. It is strict.

However, A >= B means that A could be greater than B, but it could also be equal. It is less strict, but we just call it "inequality", not unstrict inequality.

• OK, so I was wrong thinking that the second one (with `>` and `<`) was called inequality...? Commented Feb 1, 2015 at 9:59
• @barakmanos Not at all: > and < are still inequalities, but if you want to differentiate them from ≥ and ≤, you would call them "strict inequalities". Calling them inequalities on their own is still fine. :)
– user108188
Commented Feb 1, 2015 at 10:02
• @donaldacmartin. I think you are using "first" to mean "second" and "second" to mean "third".
– fdb
Commented Feb 1, 2015 at 11:59
• All inequalities are not created equal. Commented Feb 1, 2015 at 23:11
• @HotLicks All inequalities are created equal, sum is just more equal than others... Commented Feb 26, 2015 at 11:31