anonymous
  • anonymous
Which point lies in the solution set for the following system of inequalities? 2x + y < 4 x - y > 3 Answer (2, -3) (5, -2) (3, 4) (0, 0)
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
I'm just curious. Why not compute it yourself? Put the points in. See if they work.
anonymous
  • anonymous
i did n they all come out to be false so i might doing something wrong but idk
anonymous
  • anonymous
Ok. (0,0) doesn't work. You can tell that immediately. To check if a point \((x_1,y_2)\) works, just put it in like this: \(2x_1+y_1<4\) and \(x_1-y_1>3\). Here's an example: To test \((8,9)\) we do this: \[ \begin{align} 2(8)+(9)&<4\\ 16+9&<4\\ 25&<4 \end{align} \] Since \(25\) is not less than \(4\), the point \((8,9)\) does not work. Try the other points just like this. If they work for one inequality, check the other. If they work for both, then that's the point you pick. :D

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anonymous
  • anonymous
haha i got it thanks :)
anonymous
  • anonymous
YAAAAYYYYYYYY WOOOHOO :D
anonymous
  • anonymous
lol :p
anonymous
  • anonymous
you can try making the graph for better understanding
anonymous
  • anonymous
^this, too, helps.. unless you're as lazy as I am.
anonymous
  • anonymous
Heck, I visualize them more often than I do actually graph them..
anonymous
  • anonymous
i did that graph thing and i got it the same thing as i did when i plugged in the numbers
anonymous
  • anonymous
You are supposed to. They represent the same thing.
anonymous
  • anonymous
yeaa ik i get what i was doing wrong

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