\(\left|x-\dfrac{1}{2}\right|< =\dfrac{1}{2}-\left|\dfrac{1}{4}-\dfrac{1}{2}\right|\)
=>\(\left|x-\dfrac{1}{2}\right|< =\dfrac{1}{2}-\left|\dfrac{1}{4}\right|=\dfrac{1}{2}-\dfrac{1}{4}=\dfrac{1}{4}\)
=>\(-\dfrac{1}{4}< =x-\dfrac{1}{2}< =\dfrac{1}{4}\)
=>\(\dfrac{1}{2}-\dfrac{1}{4}< =x< =\dfrac{1}{4}+\dfrac{1}{2}\)
=>\(\dfrac{1}{4}< =x< =\dfrac{3}{4}\)