You can put this solution on YOUR website!
One way to solve this is to first solve for y by adding +4x to each side:
2y - 4x < 8
2y - 4x + 4x < 4x + 8
2y < 4x+ 8
Next divide both sides by 2:
You can graph the equation y = 2x +4, by seeing that the y-intercept is 4, and the slope is 2 or
. The result of this equation is graphed below.
Now, what the inequality
calls for is to use a dotted line (since this does NOT include the line), and because the problem calls for y <, you shade below the line. If it had been y> 2x + 4, then you would have shaded ABOVE the line. One more detail, this rule about shading above (for y> ) and below the line (for Y < ) this rule only applies when y has a positive coefficient. Unfortunately, I haven't learned to graph a shaded area in this website yet. Maybe Ichudov will show us how to do this here. Until then, you'll have to do this for yourself: Graph this with a dotted line, and shade below the line.
I hope that is helpful and not confusing.
R^2 at SCC