A:Answer Compatible, yes. Though that is a generic question, that has more qualifiers than not. Is it the best monitor for Gaming? I'd say no. For that you will have to go to a higher end monitor, depending on the refresh rates you are looking for and the depth of colors you are looking for and possibly a couple others. As the laptop should have an HDMI or VGA connector it is compatible or if you only have the smaller mini DP port you will just need an adaptor for mini dp to HDMI as that is the cable you would want to use for gaming.
