# How do you graph the inequality #-2 x + y> -5#?

##### 1 Answer

May 29, 2018

See a solution process below:

#### Explanation:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

**For:**

**For:**

We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

graph{(x^2+(y+5)^2-0.125)((x-2)^2+(y+1)^2-0.125)(-2x+y+5)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line.

We also need to change the boundary line to a dashed line because the inequality operator does not contain an "or equal to" clause.

graph{(-2x+y+5) > 0 [-20, 20, -10, 10]}