Question

How do you graph `y > 6x+5` and `y< -6x+7`?

Answer 1

Determine the areas represented by each inequality and then select only the area covered by both selections

Explanation:

`color(red)("For " y > 6x - 5)`
`color(white)("XXXX")`Identify 2 points on the corresponding equality equation
`color(white)("XXXX")` `color(white)("XXXX")`I used (`x=0 rarr y=-5`) and (`x=2 rarr y=-5`)

`color(white)("XXXX")`Draw the line through these two points (noting that in this case the line is not to be included) and select the side corresponding to the inequality.
`color(white)("XXXX")` `color(white)("XXXX")`One way to do this is to test if `(0,0)` is in the included or excluded area.

`color(blue)("For " y < -6x + 7)`
`color(white)("XXXX")`Repeat the above process

`color(green)("Select area common to both")`
`color(white)("XXXX")`(see image below)