Is there a way to derive second equation from the first one? I mean is there a connection between those two uncertainty relations?
\begin{align} \Delta x \Delta p &\gtrsim \frac{\hbar}{2}\\ \Delta E \Delta t &\gtrsim \frac{\hbar}{2} \end{align}\begin{align} \Delta x \Delta p &\geq \frac{\hbar}{2}\\ \Delta E \Delta t &\geq \frac{\hbar}{2} \end{align}