Answer:
See below.
Explanation:
x+2y>6
2y >6-x
y > (6-x)/2
y > 3 - (1/2)x
See the attached graph of this inequality.
Note that the ">" sign in this inequality tells us that y is always greater than (3-(1/2)x). The graph of the line shows this inequality with 2 points:
1) The line is dotted, reflecting the fact that y is always greater than, and not greater than AND EQUAL to."
2) The darkened area represent all the valid answers to the inequality. Any point in the blue area will satisfy the equation.