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Each inequality describes the range of average monthly temperatures $T$ in degrees Fahrenheit at a certain location.

(a) Solve the inequality.

(b) Interpret the result.

$|T-50| \leq 22,$ Boston, Massachusetts

(a) $28 \leq T \leq 72$

(b) The monthly average temperatures in Boston vary between a low of $28^{\circ} \mathrm{F}$ and a high of $72^{\circ} \mathrm{F}$. The monthly averages are always within $22^{\circ}$ of $50^{\circ} \mathrm{F}$.

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