\(7x+\dfrac{3}{4}\geq13|\cdot4\\
28x+3\geq52\\
28x\geq49\\
x\geq\dfrac{49}{28}\\x\geq\dfrac{7}{4}\\\\
\dfrac{5}{2}x-\dfrac{1}{3}\geq-\dfrac{11}{2}|\cdot6\\
15x-2\geq-33\\
15x\geq-31\\
x\geq-\dfrac{31}{15}\\\\
x\geq-\dfrac{31}{15} \vee x\geq\dfrac{7}{4}\\
\boxed{x\geq-\dfrac{31}{15}}\)
