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Precisely because of the inequality! Take the simplest case, of an equation or inequality that is already solved. For the equation, for example, take:

x = 10

The equality means that x has to be 10, it can't be anything else. On the other hand, a similar inequality:

x > 10

means that ANY number greater than 10 will do.

For the sake of completeness, please note that more complicated equations can actually have more than one solution, too. For example: x2 = 25 has the solutions 5 and -5, while sin x = 0 has infinitely many solutions, since the sine function is periodic.

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Q: Why do unlike equations inequalities have more than one solution?
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