Let us think the following optimization problem:
\begin{array}{cl} \text{minimize} & f(x)\\ \text{subject to} & g(x) \le b_1,\\ & h(x) \ge b_2. \end{array}
I think we can state as follows: "if $b_1$ gets smaller and $b_2$ gets larger, the constraints get tightened."
However, how can I state the similar thing in a different view (focus on the variable $x$)?
Let us start $x_0$, which strictly satisfies both the two constraints, i.e., $$g(x_0)\lt b_1$$ and $$h(x_0) \gt b_2.$$
Now, let us think a situation where $x_0$ is changed to $x_1$, and $x_1$ is satisfying as follows: $$g(x_1) \gt g(x_0), \qquad g(x_1) \lt b_1$$ and $$h(x_1) \lt h(x_0), \qquad h(x_1) \lt b_2.$$
In this case, when $x_0$ is changed into $x_1$, is it correct to express "the constraints become more tightened." ?
If so, please comment "yes," but if not, very thank you let me know how to express this situation.