Question

Answer 1

\(a,\dfrac{3}{8}+\dfrac{-11}{8}< x< \dfrac{22}{9}+\dfrac{5}{18}\\ \Rightarrow-1< x< \dfrac{49}{18}\\ \Rightarrow\dfrac{-18}{18}< \dfrac{18x}{18}< \dfrac{49}{18}\\ \Rightarrow-18< 18x< 49\\ \Rightarrow x\in\left\{0;1;2\right\}\)

\(b,\dfrac{-7}{8}+\dfrac{5}{6}< \dfrac{x}{24}< \dfrac{2}{3}+\dfrac{-5}{8}\\ \Rightarrow-\dfrac{1}{24}< \dfrac{x}{24}< \dfrac{1}{24}\\ \Rightarrow-1< x< 1\\ \Rightarrow x=0\)