# How do you graph the inequality 20x-5>35 on the coordinate plane?

Jul 16, 2017

Refer to the explanation.

#### Explanation:

Graph:

$20 x - 5 > 35$

Add $5$ to both sides.

$20 x > 40$

Divide both sides by $20$.

$x > 2$

The standard form for a linear equation is $A x + B y = C$. The equal sign can be replaced by an inequality symbol. For $x > 2$, the standard equation $x + 0 y > 2$. Notice that the coefficient for $y = 0$. So, whatever the value for $y$ is, it will always be $0$.

Examples

If $y = 1$

then $x + \left(0 \times 1\right) > 2$ is equal to $x > 2$.

If $y = 10$

then $x + \left(0 \times 10\right) > 2$ is equal to $x > 2$.

The graph will be a dashed straight vertical line where the value for $x$ is $2$, and the values for $y$ are infinite. The dashed line indicates that the line is not part of the graph. Shade in the area to the right side because $x > 2$.

graph{x>2 [-9.905, 10.095, -5.18, 4.82]}