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

Apr 23, 2016

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

Explanation:

The equivalent inequality is $y \le 2 - \frac{x}{2}$.

In the region under this line in the negative y-direction, y of any point (x, y) would satisfy $y < 2 - \frac{x}{2} \to x + 2 y < 4$.

For making the graph:

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

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

Enter therein $x + 2 y \le 4$. The line is included for the inequality..