Is this interval notation for the solution of an inequality problem correct? Is this notationally correct?
$$
\begin{align*}
                    5 - x^2 &< -2, \\[1ex]
                    5 - x^2 + (-5) &< -2 + (-5), \\[1ex]
                    -x^2 &< -7, \\[1ex] 
                    (-x^2)(-1) &> (-7)(-1), \\[1ex] 
                    x^2 &> 7, \\[1ex]
                    x^2 - 7 &> 0,  \\[1ex]
                    (x + \sqrt{7})(x - \sqrt{7}) &> 0, \\[1ex]
                    x < -\sqrt{7} \,\lor\, x &> \sqrt{7}.
\; \llap{\mathrel{\boxed{\phantom{\;x < -\sqrt{7} \,\lor\, x > \sqrt{7}.}}}}\end{align*}
$$
or would the following be better notation?
$$
\begin{align*}
                    (x < -\sqrt{7}) \,\lor\, (x &> \sqrt{7}).
\; \llap{\mathrel{\boxed{\phantom{\;(x < -\sqrt{7}) \,\lor\, (x > \sqrt{7}).}}}}
\end{align*}
$$
Thank you.

I suggest either spelling out that logical symbol (for readability and because some readers may not know what it means) $$x < -\sqrt{7} \quad\text{or}\quad x > \sqrt{7},$$ or actually adopting interval notation $$(-\infty,-\sqrt{7})\cup (\sqrt{7},\infty)$$ as suggested by paw88789.
