How do you solve #-5x + y > -1 # and #2x + y < 1#?

1 Answer
Alan P.
Jul 31, 2015

This could be re-written as a single compound inequality:
#color(white)("XXXX")##1-2x > y > 5x -1#
or it could be expressed as a graph (see below)

Explanation:

#-5x+y > -1#
#color(white)("XXXX")##rArr##color(white)("XXXX")##y > 5x-1#

#2x+y < 1#
#color(white)("XXXX")##rArr##color(white)("XXXX")##y < 1-2x#

We could pick a few data points along the corresponding equalities and use these to graph the combination of the inequalities:
enter image source here

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