Given that $x$ and $y$ are integers and $2\le x\le 5$ and $-8\le y\le -3$, find the least po

Question

Given that $x$ and $y$ are integers and $2\le x\le 5$ and $-8\le y\le -3$, find the least possible value of ${{x}^{2}}+y$, the largest possible value of $x-y$, the largest possible value of $\frac{x}{y}$.

Accepted Answer

(i) $-4$. (ii) $13$. (iii) $-\frac14$.

Finding Extremes of Algebraic Expressions Within Integer Constraints

Finding Extremes of Algebraic Expressions Within Integer Constraints

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