Answer
$\left(-\infty,-\dfrac{56}{5}\right)$
Work Step by Step
Solving the inequalities separately, then
\begin{array}{l}\require{cancel}
3x\ge5
\\\\
x\ge\dfrac{5}{3}
,\\\\\text{OR}\\\\
-\dfrac{5}{8}x-6\gt1
\\\\
-\dfrac{5}{8}x\gt1+6
\\\\
-\dfrac{5}{8}x\gt7
\\\\
\left(-\dfrac{8}{5}\right)\left(-\dfrac{5}{8}x\right)\lt7\left(-\dfrac{8}{5}\right)
\\\\
x\lt-\dfrac{56}{5}
.\end{array}
Hence, the solution set is $
\left(-\infty,-\dfrac{56}{5}\right)
.$
