Answer
$\left(-\infty,\dfrac{5}{3} \right]$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the properties of inequality to solve the given inequality, $
0.96y-0.79\le0.21y+0.46
.$
$\bf{\text{Solution Details:}}$
Using the properties of inequality, the given is equivalent to
\begin{array}{l}\require{cancel}
0.96y-0.79\le0.21y+0.46
\\\\
100(0.96y-0.79)\le100(0.21y+0.46)
\\\\
96y-79\le21y+46
\\\\
96y-21y\le46+79
\\\\
75y\le125
\\\\
y\le\dfrac{125}{75}
\\\\
y\le\dfrac{\cancel{25}5}{\cancel{25}3}
\\\\
y\le\dfrac{5}{3}
.\end{array}
Hence, the solution set is $
\left(-\infty,\dfrac{5}{3} \right]
.$
