How do you graph #3x+y<=6#?
To graph the inequality, the line 3x+y=6 needs to be graphed first. This can be easily done by determining any two points on the line using the equation.
Choose any arbitrary value of x and find out the corresponding y. In this case if x=0 then y will be 6. Hence one point is (1,6). Like wise have one more point with x=1, which would be (1,3).
Plot the points on the graph and join. The region of the inequality would lie to the left of this line.
[To decide this, choose the point (0,0) which would lie to the left of the line, This point satisfies the given inequality, hence all points to the left of the would satisfy the inequality and would form the region of inequality.]