How do you graph #x \le 8#?

1 Answer
Oct 24, 2014

Plotting inequations is the same as plotting equations.
Remove the inequality sign and then plot it. This is the graph of your inequation.

Therefore, #x<=8# becomes x=8.
Plot this and you get a straight line parallel to y-axis and passing through x=8.

To solve this graphically, put x=0. You get 0#<=#8 which is true. X=8 divided the surface in two regions, one region where the origin lies and the other side of the line.

Now since x=0 satisfies this equation, shade the origin side. This is the graphical solution.