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

Aug 15, 2017

See a solution process below:

#### Explanation:

First, find two points on the line if you change the inequality to an equation.

For $x = 0$: $0 + 2 y = 4$

$2 y = 4$

$\frac{2 y}{\textcolor{red}{2}} = \frac{4}{\textcolor{red}{2}}$

$y = 2$ or $\left(0 , 2\right)$

For $y = 0$: $x + 0 = 4$

$x = 4$ or $\left(4 , 0\right)$

We can plot these two points and draw a line through them to get the border of the inequality:

graph{(x^2+(y-2)^2-0.075)((x-4)^2+y^2-0.075)(x+2y-4)=0}

The line will be solid because the inequality operator has a "or equal to" clause in it. We can now shade the area to the right of the line because the inequality has a "great than" clause in it.

graph{(x+2y-4)>=0}