Algebra Examples

$y < - | 3 x | + 5$

Step 1

Simplify each term.

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Step 1.1

Remove non-negative terms from the absolute value.

$y < - (3 | x |) + 5$

Step 1.2

Multiply $3$ by $- 1$ .

$y < - 3 | x | + 5$

Step 2

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

Not Linear

Step 3

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

$y < - 3 | x | + 5$

Step 4