Question

How do you graph `3x-y<0`?

Answer 1

Subtract 3x from both sides.

`3x-3x-y< 0-3x` =

`-y< -3x`

Multiply times `-1`.

`y>3x`

Determine two points on the line, temporarily changing the `>` symbol to an `=` symbol.

If `x=0; y=3(0)=0`
Point = `(0,0)`

If `x=2; y=3*2=6`
Point = `(2,6)`

Plot the points on a graph and draw a dashed line (-----) through the points to indicate that the points on that line are not part of the inequality. Shade in the area above the line.

graph{y>3x [-14.24, 14.23, -7.12, 7.12]}