Algebra Examples

$| x | > y$ $y \leq 6$ $y \geq - 2$

Step 1

Graph $| x | > y$ .

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Step 1.1

Rewrite so $y$ is on the left side of the inequality.

$y < | x |$

Step 1.2

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

Not Linear

Step 1.3

Graph a dashed line, then shade the area below the boundary line since $y$ is less than $| x |$ .

$y < | x |$

Step 2

Graph $y \leq 6$ .

$y \leq 6$

Step 3

Graph $y \geq - 2$ .

$y \geq - 2$

Step 4

Plot each graph on the same coordinate system.

$| x | > y$

$y \leq 6$

$y \geq - 2$

Step 5