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Which of the following points lie in the solution set to the following system of inequalities? y less than or equal to x - 5 y greater than or equal to -x - 4 (-5, 2) (5, -2) (-5, -2) (5, 2)

  • 11 months ago
  • 11 months ago

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  1. unheard
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    @amistre64 @Callisto @phi

    • 11 months ago
  2. unheard
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    @AravindG

    • 11 months ago
  3. AravindG
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    Did you graph them and found the solution region?

    • 11 months ago
  4. unheard
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    No, How would I do that?

    • 11 months ago
  5. Peter14
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    use graph paper graph the lines y=x-5 and y=-x-4

    • 11 months ago
  6. AravindG
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    yep

    • 11 months ago
  7. Peter14
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    find the region below or on the line y=x-5 and above or on the line y=-x-4

    • 11 months ago
  8. AravindG
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    you could also use a graphing calculator

    • 11 months ago
  9. AravindG
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    Here is one : http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

    • 11 months ago
  10. unheard
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    I'm in a library, so I don't have graphing paper, and I have no clue how to use a graphing calculator. :/

    • 11 months ago
  11. AravindG
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    its easy just plugin the quations in boxes y1 and y2

    • 11 months ago
  12. AravindG
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    *equations

    • 11 months ago
  13. unheard
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    Okay. I'll try it right now;

    • 11 months ago
  14. Peter14
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    or go to https://www.desmos.com/calculator and type in the two equations (copy and paste works too)

    • 11 months ago
  15. unheard
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    How do I make a less than or equal too sign on the graphing calculator?

    • 11 months ago
  16. Peter14
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    you don't need to, just graph the line and remember you are looking at the region less than or equal to it

    • 11 months ago
  17. AravindG
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    In my calculator click on the square having equal to after the y1 or y2

    • 11 months ago
  18. unheard
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    I'm so confused > . <

    • 11 months ago
  19. Peter14
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    in desmos, enter the less than sign then the equals sign <= or >=

    • 11 months ago
  20. unheard
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    Okay, I'm gonna use desmos then.

    • 11 months ago
  21. AravindG
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    ok.

    • 11 months ago
  22. unheard
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    I did it. What next?

    • 11 months ago
  23. Peter14
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    you typed in both your equations?

    • 11 months ago
  24. unheard
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    Yes.

    • 11 months ago
  25. Peter14
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    look at where your four points are

    • 11 months ago
  26. Peter14
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    see which one satisfies both inequalities

    • 11 months ago
  27. unheard
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    0,5 and -4,5

    • 11 months ago
  28. unheard
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    @Peter14

    • 11 months ago
  29. amistre64
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    i woulda just plugged in the 4 points to see what made true results

    • 11 months ago
  30. amistre64
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    (-5, 2) is 2 <= -5 - 5 true? is 2 >= --5 - 4 true? (5, -2) is -2 <= 5 - 5 true? is -2 >= -5 - 4 true? (-5, -2) is -2 <= -5 - 5 true? is -2 >= --5 - 4 true? (5, 2) is 2 <= 5 - 5 true? is 2 >= -5 - 4 true?

    • 11 months ago
  31. unheard
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    Oh, okay! @amistre64 I'll try that,

    • 11 months ago
  32. amistre64
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    it is nice to know that other stuff, but it takes way to much time when taking a test.

    • 11 months ago
  33. unheard
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    It's -5, -2, right?

    • 11 months ago
  34. amistre64
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    (-5, -2) -2 <= 0 true -2 >= 1 false not that one

    • 11 months ago
  35. amistre64
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    well, -10 up top, but still false :)

    • 11 months ago
  36. unheard
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    So, it's -5, something right?

    • 11 months ago
  37. amistre64
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    dunno, lets try another one (5, -2) -2 <= 5 - 5 -2 <= 0 true -2 >= -5 - 4 -2 >= -9 true that fits nicely

    • 11 months ago
  38. unheard
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    Awesome. Thanks :)

    • 11 months ago
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