Yes and no. Technically, infinity cannot be negative because it is an idea, not a number, but negative infinity is used in several mathematical equasions
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Negative infinity plus negative infinity equals negative infinity.
negative infinity
Point negative absolute infinity
Both positive and negative infinity are equally valid mathematical entities.
Yes. Multiplying a negative number by a very large positive number will equal a large negative number. If you have the function y = -x, then as x approaches infinity, y will approach negative infinity at the same rate.