Your question is very clear.
$$\\\frac{49}{4} > -\frac{3x}{2}\\\\
-\frac{3x}{2}<\frac{49}{4}\qquad $swap sides so reverse inequality$ \\\\
\frac{3x}{2}>-\frac{49}{4}\qquad $mult by neg number so reverse inequality$ \\\\
\frac{3x}{2}*\frac{2}{3}>-\frac{49}{4}*\frac{2}{3} \\\\
x>-\frac{49}{6} \\\\
x>-8\frac{1}{6} \\\\$$
Sorry I had the wrong denominator. I think it is correct now.
Your question is very clear.
$$\\\frac{49}{4} > -\frac{3x}{2}\\\\
-\frac{3x}{2}<\frac{49}{4}\qquad $swap sides so reverse inequality$ \\\\
\frac{3x}{2}>-\frac{49}{4}\qquad $mult by neg number so reverse inequality$ \\\\
\frac{3x}{2}*\frac{2}{3}>-\frac{49}{4}*\frac{2}{3} \\\\
x>-\frac{49}{6} \\\\
x>-8\frac{1}{6} \\\\$$
Sorry I had the wrong denominator. I think it is correct now.