Question

How do you graph the inequality `x + 2y ≤ 4`?

Answer 1

Draw the straight line `x+2y=4` that passes through (0, 2) and (4, 0). Shade the region below this line, in the negative y-direction, Enter therein `x+2y<=4`. The line is included for the inequality..

Explanation:

The equivalent inequality is `y<=2-x/2`.

In the region under this line in the negative y-direction, y of any point (x, y) would satisfy `y<2-x/2tox+2y<4`.

For making the graph:

Draw the straight line `x+2y=4` that passes through (0, 2) and (4, 0).

Shade the region below this line, in the negative y-direction,

Enter therein `x+2y<=4`. The line is included for the inequality..