# How do you graph y>abs(2x)?

Jun 18, 2017

Refer to the explanation.

#### Explanation:

Graph:

$y > \left\mid 2 x \right\mid$

Since $\left\mid a \right\mid = \pm a$, there are two equations to graph.

color(red)(y)>color(blue)(2)color(magenta)(x$\mathmr{and}$color(red)y> color(purple)(-2)color(magenta)(x

Determine several points for color(red)(y)>color(blue)(2)color(magenta)(x by choosing values for $x$ and solving for $y$.

$\text{Points}$

$x = 0 ,$$y = 0$

$x = 1 ,$$y = 2$

$x = 2 ,$$y = 4$

Plot the points and draw a dashed line through the points. The shade the area above the line. The dashed line indicates that the line is not part of the inequality.

Determine several points for $\textcolor{red}{y} > \textcolor{p u r p \le}{- 2} \textcolor{m a \ge n t a}{x}$.

$\text{Points}$

$x = 0 ,$$y = 0$

$x = - 1 ,$$y = 2$

$x = - 2 ,$$y = 4$

Plot the points and draw a dashed line through the points. The shade the area above the line.

graph{y>abs(2x) [-10, 10, -5, 5]}