Question

tìm số nguyên x ϵ Z, biết :

\(\dfrac{1}{2}\) + \(\dfrac{-1}{3}\)+\(\dfrac{-2}{3}\) ≤ x < \(\dfrac{-3}{5}\) + \(\dfrac{1}{6}\) + \(\dfrac{-2}{5}\) + \(\dfrac{3}{2}\)

 

Answer 1

\(\dfrac{1}{2}+\dfrac{-1}{3}+\dfrac{-2}{3}\le x< \dfrac{-3}{5}+\dfrac{1}{6}+\dfrac{-2}{5}+\dfrac{3}{2}\)

\(\Leftrightarrow\dfrac{1}{2}+\left(\dfrac{-1}{3}+\dfrac{-2}{3}\right)\le x< \left(\dfrac{-3}{5}+\dfrac{-2}{5}\right)+\left(\dfrac{1}{6}+\dfrac{3}{2}\right)\)

\(\Leftrightarrow\dfrac{1}{2}+\left(-1\right)\le x< -1+\dfrac{5}{3}\)

\(\Leftrightarrow\dfrac{-1}{2}\le x< \dfrac{2}{3}\)

\(\Leftrightarrow\dfrac{-3}{6}\le x< \dfrac{4}{6}\)

\(\Leftrightarrow x\in\left\{-3;-2;-1;0;1;2;3\right\}\)

Answer 2

⇔x∈{−3;−2;−1;0;1;2;3}