Ta có :
\(\left|2x-3\right|\le2\)
\(\Leftrightarrow\)\(-2\le2x-3\le2\)
\(\Leftrightarrow\)\(-2+3\le2x-3+3\le2+3\)
\(\Leftrightarrow\)\(1\le2x\le5\)
\(\Leftrightarrow\)\(\frac{1}{2}\le\frac{2x}{2}\le\frac{5}{2}\)
\(\Leftrightarrow\)\(\frac{1}{2}\le x\le\frac{5}{2}\)
Vậy \(\frac{1}{2}\le x\le\frac{5}{2}\)
Chúc bạn học tốt ~