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Graph the solutions of each system. $$ \left\{\be…

03:15

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Grace B.

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68

Problem 37 Hard Difficulty

Graph the solutions of each system.
$$
\left\{\begin{array}{l}
{2 x+y<7} \\
{y>2-2 x}
\end{array}\right.
$$

Answer

$y>2-2 x$

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Algebra

Elementary and Intermediate Algebra

Chapter 4

Systems of Linear Equations and Inequalities

Section 5

Solving Systems of Linear Inequalities

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Equations and Inequalities

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Video Transcript

So here we have the quote system of inequalities starting off with two x plus. Why less than seven and why is greater than two minus two X And we're supposed to graph the solutions off the system. And to do that, we must first look for the equation of lines. So here we will get two X plus. Why less than seven Who will have Why is less than two negative two X plus seven? So our equation will simply be why is equal to negative two X Plus seven? And here are line is simply going to be. Why is equal to negative two, X Plus two and the's information. We can start graphing starting over the first line. You'll have negative two plus seven. 1234567 So that's seven. This is our Why is equal to negative two X Plus seven, and our next line is going to be Why is equal to did it have to? Plus, who get up to here is our Why Singleton. I got a two X plus two, and it's good to keep in mind that we have both of our lines is dotted as our and equality is restricted and now we can start shading in our solutions. So for this we will have. Why is equal to negative? Why is the less within? I got a two X so that is going to be this point of the graph down here and why is greater than two minus two eggs is going to be on this side of the graph, so we can see that we where they overlap and that is going to be in between both lines. So our solution is just going to be this area inside both of the lines.

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Alan S. Tussy, R. David Gustafson

Elementary and Intermediate Algebra

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