Giải thích các bước giải:
\(
\begin{array}{l}
a)6x + \frac{5}{7} < 4x + 7 \\
\Leftrightarrow 2x < \frac{{44}}{7} \\
\Leftrightarrow x < \frac{{22}}{7} \\
b)8x + \frac{3}{2} < 2x + 5 \\
\Leftrightarrow 6x < \frac{7}{2} \\
\Leftrightarrow x < \frac{7}{{12}} \\
c)15x + 2 > 2x + \frac{1}{3} \\
\Leftrightarrow 13x > \frac{{ - 5}}{3} \\
\Leftrightarrow x > \frac{{ - 5}}{{39}} \\
d)2(x + 4) < 3x - \frac{{14}}{2} \\
\Leftrightarrow 2x + 8 < 3x - \frac{{14}}{2} \\
\Leftrightarrow x > 15 \\
e)\frac{x}{3} + \frac{{x - 2}}{5} > \frac{{4 - 3x}}{{ - 2x}} \\
ĐK:x \ne 0 \\
\Leftrightarrow \frac{{5x + 3x - 6}}{{15}} > \frac{{3x - 4}}{{2x}} \\
\Leftrightarrow \frac{{8x - 6}}{{15}} - \frac{{3x - 4}}{{2x}} > 0 \\
\Leftrightarrow \frac{{16x^2 - 12x - 45x + 60}}{{30x}} > 0 \\
\Leftrightarrow \frac{{16x^2 - 57x + 60}}{{30x}} > 0 \\
\Leftrightarrow 30x > 0(do:16x^2 - 57x + 60 > 0) \\
\Leftrightarrow x > 0 \\
\end{array}
\)
