Question

graph the following inequality 6x-y<12

Answer 1

Put it in slope intercept form.
6x - y < 12
-y < -6x + 12
y > 6x - 12
Since it's a > rather than a ≥, it's a dashed line. Graph the line normally as a dashed line. Then, plug in the point (0, 0) to see if that side is on the side.
y > 6x - 12
0 > 6(0) - 12
0 > - 12
This is true, so the side that includes the origin is the shaded side.