Graph 2y>|4x-5|

$2 y > | 4 x - 5 |$

Step 1

Divide each term in $2 y > | 4 x - 5 |$ by $2$ and simplify.

Divide each term in $2 y > | 4 x - 5 |$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

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 above the boundary line since $y$ is greater than $\frac{| 4 x - 5 |}{2}$ .

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

Step 4