Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4 - Page 169: 46

$x\gt\dfrac{11}{4}$

Using the properties of inequalities, the solution to the given inequality, $ 8x+3\gt25 ,$ is \begin{array}{l}\require{cancel} 8x\gt25-3 \\\\ 8x\gt22 \\\\ x\gt\dfrac{22}{8} \\\\ x\gt\dfrac{\cancel{2}\cdot11}{\cancel{2}\cdot4} \\\\ x\gt\dfrac{11}{4} .\end{array}