How do you graph the inequality #-y<2#?

1 Answer
Apr 8, 2015

Draw the horizontal line for #-y =2# (that is #y=-2#) on a graph.

It might be useful to note #-y<2# is equivalent to #y>-2#

Shade the area above this line as the collection of points represented by #-y<2#

(I've used a different color than that used for the #y=-2# to shade the area as a way of indicating that the points on the line are not part of the solution. Different teachers/institutions have different standards for this (some use dashed lines; some put small hollow circles on the line; find out what your local standard is).

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