Question

a. \(-4\dfrac{3}{5}\times2\dfrac{4}{23}\le x\le-2\dfrac{3}{5}\times1\dfrac{6}{15}\)

Answer 1

\(-4\dfrac{3}{5}\cdot2\dfrac{4}{23}\le x\le-2\dfrac{3}{5}\cdot1\dfrac{6}{15}\)

\(\Leftrightarrow-10\le x\le-\dfrac{91}{25}\)

\(\Leftrightarrow x\in\left\{-9;-8;-7;-6;-5;-4\right\}\)

Answer 2

\(\Rightarrow-\dfrac{23}{5}\cdot\dfrac{50}{23}\le x\le-\dfrac{13}{5}\cdot\dfrac{7}{5}\\ \Rightarrow-10\le x\le-\dfrac{91}{25}\\ \Rightarrow-\dfrac{2500}{25}\le x\le-\dfrac{91}{25}\\ \Rightarrow x\in\left\{-\dfrac{2499}{25};-\dfrac{2498}{25};...;-\dfrac{92}{25};-\dfrac{91}{25}\right\}\)