Question

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

Answer 1

Refer to the explanation.

Explanation:

Graph:

`y>abs(2x)`

Since `abs(a)=+-a`, there are two equations to graph.

`color(red)(y)>color(blue)(2)color(magenta)(x` `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`.

`"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 `color(red)(y)> color(purple)(-2)color(magenta)(x)`.

`"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]}