An integer $x$ satisfies both $$\frac{x-1}{2}\geq-2 \qquad\text{and}\qquad \frac{2x+1}{3}

Question

An integer $x$ satisfies both $$\frac{x-1}{2}\geq-2 \qquad\text{and}\qquad \frac{2x+1}{3}<4. $$ Find all possible values of $x$. Find the greatest and least values of $P=7-3x$. State the value of $x$ giving each.

Accepted Answer

(a) $x=-3,-2,\ldots,5$; (b) Greatest $P=16$ at $x=-3$, Least $P=-8$ at $x=5$.

Linear Equations and Inequalities

Linear Equations and Inequalities

Solution:

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