Given that $p$ and $q$ are such that $-\frac{13}{7} \leq p \leq 4$ and \(\frac{11}{2} \leq q \

Question

Given that $p$ and $q$ are such that $-\frac{13}{7} \leq p \leq 4$ and $\frac{11}{2} \leq q \leq 9\frac{1}{4}$, find the greatest possible value of $p + q$, the greatest possible value of $q - p$, the smallest possible value of $pq$, the greatest possible value of $pq$, the smallest possible value of $p^2 + q^2$, the greatest possible value of $p^2 + q^2$.

Accepted Answer

(a) $13\dfrac{1}{4}$ (b) $11\dfrac{3}{28}$ (c) $-17\dfrac{5}{28}$ (d) $37$ (e) $30\dfrac{1}{4}$ (f) $101\dfrac{9}{16}$

Addition, Subtraction, Multiplication, and Division involving Negative Numbers

Addition, Subtraction, Multiplication, and Division involving Negative Numbers

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