Question

What is infinity minus another infinity?
∞-∞= ?

Answer 1

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✔At first, you may think that infinity subtracted from infinity is equal to zero.

✔After all, any number subtracted by itself is equal to zero, however infinity is not a real (rational) number.

✔First, I am going to define this axiom (assumption) that infinity subtracted from infinity is equal to zero: 

∞ - ∞ = 0

Now:-

add the number one to both sides of the equation. 

∞ - ∞ + 1 = 0 + 1

Since ∞ + 1 = ∞ and 0 + 1 = 1, then we are going to simplify both parts of the equation: 

∞ - ∞ = 1

✔Woops! It is impossible for infinity subtracted from infinity to be equal to one and zero.

✔Using this type of math, we can get infinity minus infinity to equal any real number.

✔ Therefore, infinity subtracted from infinity is undefined. 

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