It is tempting to try to solve an inequality like an equation. For instance, we

It is tempting to try to solve an inequality like an equation. For instance, we might try to solve 1 < 3/x by multiplying both sides by x , to get x < 3 , so the solution would be (−∞,3). But that’s wrong; for example, x = −1 lies in this interval but does not satisfy the original inequality. Explain why this method doesn’t work. Then give the correct solution for the inequality.

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