Solve the System of Inequalities y>=3/4x+5 y<-5/2x-8

$y \geq \frac{3}{4} x + 5$ $y < - \frac{5}{2} x - 8$

Combine $\frac{3}{4}$ and $x$ .

$y \geq \frac{3 x}{4} + 5$

Simplify each term.

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

$y < - \frac{x \cdot 5}{2} - 8$

Move $5$ to the left of $x$ .

$y < - \frac{5 x}{2} - 8$

Find the intersection of $y \geq \frac{3 x}{4} + 5$ and $y < - \frac{5 x}{2} - 8$ .

$\frac{3 x}{4} + 5 \leq y < - \frac{5 x}{2} - 8$