How do you graph the inequality #x-2y> 4#?

1 Answer
Alan P.
Oct 21, 2015

Draw a dashed (to indicate it is not included in the solution) line for #x-2y=4#;
shade the side that does not include the origin (since #(x,y)=(0,0)# is not a valid solution for #x-2y > 4#)

Explanation:

Solving #x-2y=4# for some arbitrary values of #x#
(I chose #x=0# and #x=4#)

#x=0 rarr y=-2#
#x=4 rarr y=0#

Draw a line through the points #(0,-2)# and #(4,0)# (remember to make a "dashed line" because we do not want it included in the final solution.

Since #(x,y)=(0,0)# is not a valid solution for #x-2y > 4# shade the side of the line that does not include #(0,0)# to show the final solution area.

Your graph should look like:
graph{x-2y > 4 [-10, 10, -5, 5]}

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