To determine at which temperature an object will begin to glow blue, you can refer to the concept called Wien's Law, which states that the peak wavelength of emission from a black body is inversely proportional to its temperature.
In the context you provided, if you place the peak emission in the blue part of the spectrum, we can analyze the temperature associated with that peak wavelength.
Typically, objects start to show a faint blue tint around 7000 K. Therefore, in your options, this would be the correct choice.
So, the answer is:
7000 K