How do you graph 2x + y > 4

Rewrite the inequality as

We can compare this expression to the function

The inequality states that we want to consider all the point whose y coordinates are greater than the ones of the points that lay on the graph.

So, we can graph the inequality in two steps:

Since the function is a line (because it is a first-degree polynomial), you can graph it by simply sampling two points: if for example we choose x=0 and x=1, the correspondent y values are

So, the line passes through the points (0,4) and (-1,2). Connect them and you have the graph of the line.

f is the midpoint of