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2016740e

  • 2 years ago

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)

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

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

  3. Limitless
    • 2 years ago
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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

  4. 2016740e
    • 2 years ago
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    haha i got it thanks :)

  5. Limitless
    • 2 years ago
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    YAAAAYYYYYYYY WOOOHOO :D

  6. 2016740e
    • 2 years ago
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    lol :p

  7. vanihba
    • 2 years ago
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    you can try making the graph for better understanding

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

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

  10. 2016740e
    • 2 years ago
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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

  11. Limitless
    • 2 years ago
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    You are supposed to. They represent the same thing.

  12. 2016740e
    • 2 years ago
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    yeaa ik i get what i was doing wrong

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