Solve the System of Inequalities y>1/2x+1 y+3x<=6

$y > \frac{1}{2} x + 1$ $y + 3 x \leq 6$

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

$y > \frac{x}{2} + 1$

Subtract $3 x$ from both sides of the inequality.

$y \leq 6 - 3 x$

Find the intersection of $y > \frac{x}{2} + 1$ and $y \leq 6 - 3 x$ .

$\frac{x}{2} + 1 < y \leq 6 - 3 x$