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Graph each inequality.$$2 x+3 y \leq-12$$
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Algebra
Chapter 3
Graphing Linear Equations and Inequalities in Two Variables; Functions
Section 7
Graphing Linear Inequalities
Graphs and Statistics
Equations and Inequalities
Linear Functions
Systems of Equations and Inequalities
Missouri State University
Oregon State University
Harvey Mudd College
Lectures
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Okay. So for this one, we want a first move the ex the other side. So I have three. Why is less than or equal to negative two X minus 12. And then I'm gonna divide both sides by three to get my white isolated. So why, it's less than or equal to negative 2/3 X minus four. Now that I have it in my slope intercept format. I know my intercept. Is that negative? Four. I'm gonna go down to over three. So the graphs should look something like this, and it is a solid line because it is less than or equal to. So then, from there I'm gonna use my zeroes here as a test point. So zero is less than or equal to zero minus four. Well, that's unfortunately not true, because night, a force not greater than zero. So we have to shoot it.
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