Algebra Examples

$y \leq - \frac{5}{2} | x - 4 |$

Step 1

Simplify $- \frac{5}{2} \cdot | x - 4 |$ .

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Step 1.1

Combine $| x - 4 |$ and $\frac{5}{2}$ .

$y \leq - \frac{| x - 4 | \cdot 5}{2}$

Step 1.2

Move $5$ to the left of $| x - 4 |$ .

$y \leq - \frac{5 | x - 4 |}{2}$

Step 2

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

Not Linear

Step 3

Graph a solid line, then shade the area below the boundary line since $y$ is less than $- \frac{5 | x - 4 |}{2}$ .

$y \leq - \frac{5 | x - 4 |}{2}$

Step 4