## Intermediate Algebra (12th Edition)

$x=\dfrac{1}{4}$
The given inequality, $|4x-1|\le0 ,$ is equivalent to \begin{array}{l}\require{cancel} 4x-1=0 .\end{array} Using the properties of equality, the solution to the equation above is \begin{array}{l}\require{cancel} 4x=1 \\\\ x=\dfrac{1}{4} .\end{array}