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")rArrcolor(white)("XXXX")y > 5x-1

2x+y < 1
color(white)("XXXX")rArrcolor(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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