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...

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.