# How do you graph the inequality y<=-3abs(x-2)+4?

Dec 2, 2016

Upon the collar-graph and the neck within, $y \le - 3 | x - 2 | + 4$. The vertex of the collar is (2, 4)

#### Explanation:

$y \le - 3 | x - 2 | + 4$ is the combined equation for the pair

$y \le - 3 \left(x - 2\right) + 4 , x \ge 2$ and

$y \le - 3 \left(- \left(x - 2\right)\right) + 4 , x \le 2$

representing two straight lines meeting at ( 2, 4 ).

See the graph.

Upon the collar-graph and the neck within, $y \le - 3 | x - 2 | + 4$.

graph{y+3|x-2|-4=0 [-40, 40, -20, 20]}