Once the infinity blade has been placed in the slot a hand scanner will appear. Your character will scan his hand automatically. After that three small doors will open. The largest one will stay closed.
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anything can be put into it so... (-infinity,infinity)
X is a variable which can be replaced with virtually anything ranging from -infinity to +infinity, imaginary numbers, other variables and even whole other functions.
It either floats or sinks...put the marbles in water to test them!
Yes, they can be put into a one-to-one correspondence. The size of both sets is what's called a "countable infinity".