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makaylarrrrrr

  • 5 months ago

What is the solution set of |x + 3| - 2 = -5?

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  1. rock_mit182
    • 5 months ago
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    \[|x+3|=-3\] adding up both sides of the equation by 2

  2. myininaya
    • 5 months ago
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    @MilenaSaeger Please do not just give the answer. (Also this is not the right answer)

  3. makaylarrrrrr
    • 5 months ago
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    wouls the answer be no solution?

  4. rock_mit182
    • 5 months ago
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    no you have to solve the absolute fvalue now

  5. myininaya
    • 5 months ago
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    @makaylarrrrrr and why did you reach that conclusion? not saying you are wrong

  6. makaylarrrrrr
    • 5 months ago
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    because I plugged 6 and 0 back into the problem and they weren't equal to -5

  7. myininaya
    • 5 months ago
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    Ok @makaylarrrrrr you are right to say no solution because the absolute value of something would leave you to either a positive or 0 answer but plugging in any value of x here: |x+3| would leave you to a positive or 0 answer so there cannot possibly be a solution to |x+3|=-3

  8. myininaya
    • 5 months ago
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    gj @makaylarrrrrr

  9. makaylarrrrrr
    • 5 months ago
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    thank you!

  10. myininaya
    • 5 months ago
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    And @MilenaSaeger plugging in your answers as @makaylarrrrrr did you will see they do not work what did you say 6 and 0 the equation was |x+3|-2=-5 plug in 6 we get: |6+3|-2 |9|-2 9-2 7 but 7 is not -5 so x=6 will definitely not work you also said 0 would work but when we replace x with 0 we get |0+3|-2 |3|-2 3-2 1 but 1 is not -5 so x=0 will definitely not work and again |of some number| will either be positive or zero (and never negative)

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