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No. For example, linear algebra, for example, is about linear equations where the domain and range are matrices, not simple numbers. These matrices may themselves contain numbers that are real or complex so that not only is the range not the real numbers, but it is not based on real numbers either.
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y=x2
A real life example would be the two angles on the sides of the Leaning Tower of Pisa.
Ir is in some people's real life. Example: millions of students that want to pass algebra.