Answer
$x$ $\leq$ $\frac{48}{7}$
The equivalent interval notation is $(-\infty, \frac{48}{7}]$.
Work Step by Step
$\frac{1}{3}x + \frac{2}{5}x - \frac{1}{2}(x + 3)$ $\leq$ $\frac{1}{10}$
$\frac{1}{3}x + \frac{2}{5}x - \frac{1}{2}x - \frac{3}{2}$ $\leq$ $\frac{1}{10}$
$\frac{10 + 12 - 15}{30}x$ $\leq$ $\frac{1}{10} + \frac{3}{2}$
$\frac{7}{30}x$ $\leq$ $\frac{1 + 15}{10}$
$x$ $\leq$ $\frac{16 * 30}{10 * 7}$
$x$ $\leq$ $\frac{48}{7}$
The equivalent interval notation is $(-\infty, \frac{48}{7}]$.
