Problem

In some cameras, the image that you see in the vi…

Problem 54 Easy Difficulty

Graph each system of inequalities and give two possible solutions. See Example 5.
(GRAPH CANNOT COPY)
Air Ouality. J. Bolden Heating Company wants to order no more than 2,000 dollars worth of electronic air cleaners and humidifiers from a wholesaler that charges 500 dollars for air cleaners and 200 dollars for humidifiers. If Bolden wants more humidifiers than air cleaners, graph a system of inequalities showing the possible combinations of air cleaners $(x)$ and humidifiers $(y)$ that can be ordered.

Answer

one air cleaners and two humidifiers
two air cleaners and four humidifiers

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 4

Systems of Linear Equations and Inequalities

Section 5

Solving Systems of Linear Inequalities

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Video Transcript

okay. I want to start with my very last equation, which is the same thing as my Why access. I'm just gonna add Aristide because it would be a solid line because X is greater than or equal to zero. So that's the case would be shading in this direction here. Anything on that side of that line is the next equation we have right here in green is why is greater than or equal to X. So with this, since there's no why intercept written, it could be the same thing is plus zero. So why, why intercept would be at the 0.0 Then I'm gonna be going up one to the right one. Going down this way as well is going same direction here. Now, this would be a solid line because it's greater than or equal to some make line through those points. So there would be our line now usually test a point. Usually the easiest one to test 00 But that's on our line. Um, so try finding a, um point that is not on our line. So 01 would be not on our line, so that would be one is greater than or equal to zero, which is a true statement. So we would be shading in this direction on our line. So right now we're this little triangle right here is what we have shaded in because that's where my arrows air crossing my shaving. So my next, um, equation and it would blues conceivable differently. I'm gonna rewrite it. I'm gonna write us. Why is less than or equal to To minus two X? All I've done is just subtract two x from each side. So now my Y intercept is too right here, and my slope is in negative twos and we go down to to the right one June shoot. Great. Want a couple more appear one to again? I'm gonna have a solid line because it's less than or equal to. So the line's somewhat like that. So now a zoo before I want to test the point. Like I said earlier, it's always easy to test 00 So let's do that. Zero is less than or equal to. To is a true statement. So we be shading in this direction, but should mean that the solution and on if you could see ever Well, it was gonna be in to make it all in blue. It's a little bitty triangle right there, cause that's where all three weren't would be shaded in.

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