Question
Find all integers $\mathrm{x}$ for which $(5 x-1)<(x+1)^{2}<(7 x-3)$
Step 1
This simplifies to $x^{2}+2x+1>5x-1$, which further simplifies to $x^{2}-3x+2>0$. Factoring this gives $(x-1)(x-2)>0$. The solution set for this inequality is $x \in (-\infty, 1) \cup (2, \infty)$. Show more…
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Key Concepts
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