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trwatkins1

  • one year ago

Which values satisfy the inequality? |y| > 6 Choose all answers that are correct. A. y = –7 B. y = –1 C. y = 3 D. y = 9

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  1. trwatkins1
    • one year ago
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    @SolomonZelman

  2. e.mccormick
    • one year ago
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    Well, yo can plug them in and try, but in general, whenever you see an absolute value inequality it means that the number will be constriend between two poiunts or NOT between those two points.

  3. mathstudent55
    • one year ago
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    To solve an equation of the form \(|X| = k\) where X is an expression with a variable and k is a non-negative number, solve the compound equation X = k or X = -k

  4. e.mccormick
    • one year ago
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    |x| < k means x will be between k and -k. |x| > k means x will be outside k and -k.

  5. mathstudent55
    • one year ago
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    Your expression with a variable is simply y. Set y equal to the number. Then set y equal to the negative of the number. Separate the equations with the word "or". That is the solution.

  6. trwatkins1
    • one year ago
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    ok

  7. e.mccormick
    • one year ago
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    So, based on all that, do you see the answer(s)?

  8. trwatkins1
    • one year ago
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    ???????????

  9. mathstudent55
    • one year ago
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    Sorry. I misread the problem as as equation, y = |6|. Follow @e.mccormick as to how to find the answer the question.

  10. trwatkins1
    • one year ago
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    what do you mean by |x| > k means x will be outside k and -k.

  11. e.mccormick
    • one year ago
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    Because it is an inequality, y will be above or below some value. However, because y is in an absolute value, it means it is like being above or below two values: |x| > k means: x > k AND x > -k So if k is say 3, the line graph would be: |dw:1440444499449:dw| So it is OUTSIDE the -3 to 3 range.

  12. anas.p
    • one year ago
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    |y|= y with a positive sign this means that |-7|=7 and |7|=7 get it? |-3|=3 and |3|=3. Now try.

  13. e.mccormick
    • one year ago
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    If I did |x|<3, it would be: |dw:1440444653222:dw| That is inside...

  14. e.mccormick
    • one year ago
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    Or between. That is what I meant by it is between the numbers or outside those numbers. The > or < tells you which.

  15. trwatkins1
    • one year ago
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    >:( i still dont understand

  16. e.mccormick
    • one year ago
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    OK. Well, lets do try and see. |y| > 6 y = –7 y = –1 y = 3 y = 9 If you put -7 in place of y, is that true? If yes, then that is a valid answer. If no, it is not. Then repeat with -1, 3, and 9.

  17. trwatkins1
    • one year ago
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    @e.mccormick 9?

  18. e.mccormick
    • one year ago
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    Yes, |9| > 6 is true. However, there is another.

  19. trwatkins1
    • one year ago
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    3?

  20. e.mccormick
    • one year ago
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    |3| > 6 3 > 6 Three is greater than six... no, that is false.

  21. trwatkins1
    • one year ago
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    oh yea

  22. e.mccormick
    • one year ago
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    Remember how the absolute value works.

  23. trwatkins1
    • one year ago
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    so 7

  24. e.mccormick
    • one year ago
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    Yes. |y| > 6 means values outside the range of -6 to 6 are true. So values more than 6 and les than -6 would satisfy that. -7 is less than -6, so it is true.

  25. e.mccormick
    • one year ago
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    IF it had been |y| < 6, it would have been the other two. But for |y| > 6 it is A and D.

  26. e.mccormick
    • one year ago
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    I hope that makes more sense now.

  27. trwatkins1
    • one year ago
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    @e.mccormick 100%

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