Solve each inequality. Write the solution set in interval notation and graph it. $$ \frac{1}{x}<3 $$
Added by David D.
Step 1
We can do this by multiplying both sides by $x^2$, since $x^2$ is always positive and won't change the inequality sign. This gives us: $$ x^2 \cdot \frac{1}{x} < 3x^2 $$ Now, simplify the inequality: $$ x < 3x^2 $$ Rearrange the inequality to have all terms on Show more…
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