Solve the System of Inequalities y>-1/2x+4 y<5/2x-2

$y > - \frac{1}{2} x + 4$ $y < \frac{5}{2} x - 2$

Combine $x$ and $\frac{1}{2}$ .

$y > - \frac{x}{2} + 4$

Combine $\frac{5}{2}$ and $x$ .

$y < \frac{5 x}{2} - 2$

Find the intersection of $y > - \frac{x}{2} + 4$ and $y < \frac{5 x}{2} - 2$ .

$- \frac{x}{2} + 4 < y < \frac{5 x}{2} - 2$