query: How to algebraically solve $\frac{1}{x} < 5$ inequality to obtain two solutions?
positive_passages.docid: 27969
positive_passages.text: Why does $\frac{1}{x} < 4$ have two answers?
negative_passages.docid: 99644
negative_passages.text: Finding an Upper Bound on This Inequality
negative_passages.docid: 147785
negative_passages.text: Proving inequality $x^xy^y \geq (\frac{x+y}{2})^{x+y}$
negative_passages.docid: 91000
negative_passages.text: Prove that $\frac{1}{a+1}0$
negative_passages.docid: 19896
negative_passages.text: Prove $\frac{a}{b}+ \frac{b}{c}+ \frac{c}{a}\geq \frac{1}{a}+ \frac{1}{b}+ \frac{1}{c}$
negative_passages.docid: 26606
negative_passages.text: Prove the inequality $\,\frac{1}{\sqrt{1}+ \sqrt{3}} +\frac{1}{\sqrt{5}+ \sqrt{7} }+\ldots+\frac{1}{\sqrt{9997}+\sqrt{9999}}\gt 24$
negative_passages.docid: 148451
negative_passages.text: Polynomial inequality proof
negative_passages.docid: 62055
negative_passages.text: Solve $\frac{d}{dx}f(x)=f(x-1)$
negative_passages.docid: 151154
negative_passages.text: Prove the inequality $\sqrt\frac{a}{a+8} + \sqrt\frac{b}{b+8} +\sqrt\frac{c}{c+8} \geq 1$ with the constraint $abc=1$
negative_passages.docid: 15232
negative_passages.text: Proving an inequality involving real powers
negative_passages.docid: 82170
negative_passages.text: Solve $x = \frac{1}{2}\tan(x)$
negative_passages.docid: 157264
negative_passages.text: Solve $\frac1x+\frac1y=\frac1{pq}$
negative_passages.docid: 95991
negative_passages.text: How to solve $\lim_{x \rightarrow 0} {\frac{(1+x)^a-1}{x}}$?
negative_passages.docid: 34349
negative_passages.text: Prove that $\frac{1}{1+x_1}+\frac{1}{1+x_2}+\cdots+\frac{1}{1+x_n} \geq \frac{n}{\sqrt[n]{x_1x_2\cdots x_n}+1}$
negative_passages.docid: 15441
negative_passages.text: Show $\frac{1}{4}\leq \mu(A\cap B \cap C)$
negative_passages.docid: 65562
negative_passages.text: Proving the inequality $\arctan\frac{\pi}{2}\ge1$
negative_passages.docid: 103042
negative_passages.text: Is it possible to have Mathematica move all terms to one side of an inequality?