\(2x-3>5x-4\)
\(\Leftrightarrow2x-5x>-4+3\)
\(\Leftrightarrow-3x>-1\)
\(\Leftrightarrow x>\frac{1}{3}\)
\(-5x+6< \frac{1}{3}\)
\(\Leftrightarrow-5x< \frac{1}{3}-6\)
\(\Leftrightarrow-5x< \frac{1}{3}-\frac{18}{3}\)
\(\Leftrightarrow-5x< \frac{-17}{3}\)
\(\Leftrightarrow x< \frac{-17}{3}\div\left(-5\right)\)
\(\Leftrightarrow x< \frac{17}{15}\)
\(7-8x>\frac{9}{16}\)
\(\Leftrightarrow8x>7-\frac{9}{16}\)
\(\Leftrightarrow8x>\frac{112}{16}-\frac{9}{16}\)
\(\Leftrightarrow8x>\frac{103}{16}\)
\(\Leftrightarrow x>\frac{103}{16}\div8\)
\(\Leftrightarrow x>\frac{103}{124}\)
