Graph |x|+y>=0

$| x | + y \geq 0$

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

$y \geq - | x |$

The equation is not linear, so a constant slope does not exist.

Not Linear

Graph a solid line, then shade the area above the boundary line since $y$ is greater than $- | x |$ .

$y \geq - | x |$