An integer $n$ satisfies:$$2n+1-6,\qquad3n-2\leq16,\qquad n

Question

An integer $n$ satisfies:$$2n+1>-6,\qquad3n-2\leq16,\qquad n<5.$$ List all possible $n$. Find the least and greatest values of $P=4-3n$. Find the least value of $Q=n^2$, explaining why checking only the endpoints is insufficient here.

Accepted Answer

(a) $n=-3,\ldots,4$; (b) $P_{\min}=-8,\ P_{\max}=13$; (c) $Q_{\min}=0$.

Linear Equations and Inequalities

Linear Equations and Inequalities