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

1 Answer
Apr 23, 2016

Answer:

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..