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