How do you graph the inequality 2x+3y>6?

1 Answer
Apr 6, 2015

First draw a lightly dashed version of the line 2x+3y=6, which is equivalent to y=23x+2 (a line with a slope of 23 and a y-intercept of y=2...also note that the x-intercept is x=3).

Next, note that the point (0,0) does not satisfy the inequality 2x+3y>6. Therefore, shade in the "half-plane" on the other side of the line 2x+3y=6 from the side that (0,0) is on. Make sure the line 2x+3y=6 remains lightly dashed. It's not part of the solution set.