How do you graph the inequality #y ≥ x - 1#?

1 Answer
Sep 5, 2017

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: #x = 0#

#y = 0 - 1#

#y = -1# or #(0, -1)#

For: #x = 5#

#y = 5 - 1#

#y = 4# or #(5, 4)#

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.
The boundary line will be solid because the inequality operator contains a "or equal to" clause.

graph{(x^2+(y+1)^2-0.125)((x-5)^2+(y-4)^2-0.125)(y-x+1)=0 [-20, 20, -10, 10]}

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

graph{(y-x+1)>=0 [-20, 20, -10, 10]}