How do you graph the inequality #2x + y > 1#?

1 Answer
Mar 3, 2017

#y > -2x+1# is easier to plot.
Draw a dotted line and shade above the line.

Explanation:

The first step is to change the inequality into an easier form.

#y > -2x+1#

From this we have the following:

  • The #y#-intercept is at the point #(0, 1)#

  • The slope is #-2#

  • The inequality sign is #># so the graph will be a dotted line.

  • The area above the line will be shaded

To draw the graph:

  • Find the #x#-intercept by putting #y=0#
    #0= -2x+1#
    #2x=1#
    #x =1/2#

  • Plot the point #(1/2,0)#

  • Plot the y-intercept at the point #(0,1)#

From the y-intercept #"rise"/"run"# will give us 2 units up and 1 to the left.

Repeat this process at least 3 times to get a line of points.

Draw a dotted line and shade the area above the line.

graph{y > -2x+1 [-1.302, 3.698, -0.73, 1.77]}