Okay it is telling you the computer went to 'sleep' and put parts of it into 'sleep' or very low power mode. If you click the keyboard / move the mouse and nothing worked, does the computer not come on at all?
Have you held the power button for 10 mississippis then pressed it back on? Does it work now?
If the computer now works, but afraid it will 'sleep again' there is some easy steps, click on the bottom right tray 'power icon' then click more power options. Click on Show additional Plans, and select High Performance. Along the left are the points to change to those statements. So when you press the power button clicking on Choose what the power buttons do, will determine what the power buttons do (sleep, hibernate, off, etc.). Change then the computer sleeps or turn off the display are also important, and set it to YOUR preferences on how YOU want the computer to behave.
Lastly, if NONE of this works and your still not getting any display no matter what (even with rebooting) then yea something died somewhere. You might be best served, considering this was a cheapo low performance system to consider replacing it with a better computer which are DIRT CHEAP now (they make computers as disposable as cell phones and just as cheap). A quick cheapy that was a good buy is Black Friday Walmart $173 laptop. There is the normal (and better) i3core laptop or desktop (desktop gives free mouse keyboard and most cases free new LCD too) for only $249. A medium class and can game on i5 core is only $349 (though for gaming you would best upgrade the power for $99+ then spend the rest $129-$500 on the video card) that will last you quite a while.
Again only if your system is dead / parts are dead because the cost of parts (see the Power and video card?) cost more then a whole new system.