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Algebra is a tremendously useful mathematical tool, without which modern science and technology would not have been possible.
Algebra was invented as a tool for solving mathematical problems, and it has proved to be tremendously useful. Modern technology as we know it would have been impossible without the use of algebra.
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More accurately, algebra is the set of symbols and rules used to construct mathematics. It is not a calculating tool to solve problems in its own right, but allows you to express the ways in which to solve those problems.
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