Question

Answer 1

\(\left(-\dfrac{12}{27}+\dfrac{2}{3}\right)+\dfrac{-2}{9}\le x\le\left(\dfrac{11}{7}+\dfrac{2}{5}\right)-\dfrac{7}{5}+\dfrac{3}{7}\)

\(\Rightarrow-\dfrac{12}{27}+\dfrac{2}{3}-\dfrac{2}{9}\le x\le\dfrac{11}{7}+\dfrac{2}{5}-\dfrac{7}{5}+\dfrac{3}{7}\)

\(\Rightarrow\dfrac{-12+18-6}{27}\le x\le\dfrac{11}{7}+\dfrac{3}{7}+\dfrac{2}{5}-\dfrac{7}{5}\)

\(\Rightarrow0\le x\le2-1\)

\(\Rightarrow0\le x\le1\)