How do you graph #-3>=n#?

1 Answer
Sep 10, 2017

Depends on the nature of #n# and the dimension of the graph.
See below

Explanation:

#-3>=n ->n in (-oo, -3]#

That is, n exists in the interval #(-oo, -3]#

To be able to represent #n# on a continuous graph I will assume that #n# is a real number. So now #n# can be represented as all points on the real line up to and including #-3#. Graphically, we can think of this as points on the #x-#axis #<=-3#

Next, to represent #n# on a 2D plane, we need to introduce an orthogonal axis (#y#) for which #n# exists for all values of #y#.

So, now we have #n =(x,y): n in RR; x in(-oo,-3]; y in(-oo,+oo)#

The shaded area on the graph below indicates the points for which #n# exists, with the assumptions above.

graph{-3>=x [-10, 10, -5, 5]}