Posted by **Casey** on Tuesday, February 12, 2013 at 2:58pm.

Solve the system of inequalities.

y<2x+4

-3x - 2y> 6

So I just want y alone. For the second inequality, I added 3x to both sides and got -2y> 3x+6. Then I divided both sides by -2. I got y> -3/2 - 3

Do I have to switch the inequality symbol or something?

- Algebra -
**Steve**, Tuesday, February 12, 2013 at 4:16pm
whenever you multiply/divide by a negative value, the direction of the inequality changes. It's just a shorthand for moving things to the other side. For example,

-2x < 8

0 < 8+2x

-8 < 2x

-4 < x

or, just dividing by -2 and switching the direction,

x > -4

So, for your problem,

-3x - 2y> 6

-3x-6 > 2y

y < -3/2 x - 3

Also, we have

y < 2x+4

So, to satisfy both equations,

find where the two lines intersect. The solution set is points where y is below both lines.

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