I'm trying to describe a set of inequalities I have in such a way that it's clear what I'm referring to without actually restating them all (I have $27$), and I realized I don't know of a standard convention (or at least can't recall it at present). For example, when we have two statements such as
$$x_{1} = x_{2}, \quad x_{3} \le x_{4}$$
it's clear to refer to the first as an equality and the second as an inequality. If we expand this to something like
$$x_{1} = x_{2},\quad x_{3}\le x_{4},\quad x_{5} < x_{6}$$
we can refer to these as an equality, an inequality that is not strict, and a strict inequality, respectively. It's a bit cumbersome, but it communicates the point. What's the convention for referring to something like
$$x_{1} = x_{2},\quad x_{3}\le x_{4},\quad x_{5} < x_{6}, \quad x_{7} \neq x_{8} ?$$
In particular, what's the convention for referring to inequalities of the form $a\neq b$ when other types of inequalities are present so as to avoid ambiguity?