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2016740e

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)

  • one year ago
  • one year ago

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  1. Limitless
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    I'm just curious. Why not compute it yourself? Put the points in. See if they work.

    • one year ago
  2. 2016740e
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    i did n they all come out to be false so i might doing something wrong but idk

    • one year ago
  3. Limitless
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    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

    • one year ago
  4. 2016740e
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    haha i got it thanks :)

    • one year ago
  5. Limitless
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    YAAAAYYYYYYYY WOOOHOO :D

    • one year ago
  6. 2016740e
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    lol :p

    • one year ago
  7. vanihba
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    you can try making the graph for better understanding

    • one year ago
  8. Limitless
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    ^this, too, helps.. unless you're as lazy as I am.

    • one year ago
  9. Limitless
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    Heck, I visualize them more often than I do actually graph them..

    • one year ago
  10. 2016740e
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    i did that graph thing and i got it the same thing as i did when i plugged in the numbers

    • one year ago
  11. Limitless
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    You are supposed to. They represent the same thing.

    • one year ago
  12. 2016740e
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    yeaa ik i get what i was doing wrong

    • one year ago
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