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

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

Step 1

Simplify each term.

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

$y \leq - \frac{x \cdot 5}{2} - 2$

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

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

Step 2

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

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

Step 3

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

$y < N o (Min i m u m)$

Step 4