Graph y>|x-1|-5 y<=-|x+3|+5

$y > | x - 1 | - 5$ $y \leq - | x + 3 | + 5$

Step 1

Graph $y > | x - 1 | - 5$ .

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

Not Linear

Graph a dashed line, then shade the area above the boundary line since $y$ is greater than $| x - 1 | - 5$ .

$y > | x - 1 | - 5$

Step 2

Graph $y \leq - | x + 3 | + 5$ .

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

Not Linear

Graph a solid line, then shade the area below the boundary line since $y$ is less than $- | x + 3 | + 5$ .

$y \leq - | x + 3 | + 5$

Step 3

Plot each graph on the same coordinate system.

$y > | x - 1 | - 5$

$y \leq - | x + 3 | + 5$

Step 4