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anonymous

  • one year ago

Below are the steps to solve an equation step 1: |x-2| +3=7 step 2: |x-2|=7-3 step 3: |x-2|=4 which of the following is correct step to solve the equation?

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  1. anonymous
    • one year ago
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    x – 4 = –7

  2. Study_together
    • one year ago
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    I think it's step 2.

  3. anonymous
    • one year ago
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    i agree

  4. anonymous
    • one year ago
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    x+2=4 -x-2=4 x+2=4 x-2=-4

  5. anonymous
    • one year ago
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    i need to find the correct step after

  6. zepdrix
    • one year ago
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    For absolute value, we can drop the absolute bars by throwing a plus/minus symbol in front of the stuff.\[\large\rm |\color{royalblue}{stuff}|=4\]\[\large\rm \pm\color{royalblue}{stuff}=4\]Let's write the plus/minus on the other side though, that will make things easier.\[\large\rm \color{royalblue}{stuff}=\pm 4\]

  7. zepdrix
    • one year ago
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    So notice that we actually have `two` equations now. One for the plus case, and another for the negative.\[\large\rm \color{royalblue}{stuff}=4\]\[\large\rm \color{royalblue}{stuff}= -4\]

  8. anonymous
    • one year ago
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    yeah is step 2

  9. zepdrix
    • one year ago
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    And for our problem, the `stuff` is simply `x-2`.

  10. zepdrix
    • one year ago
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    i guess everyone else got confused by the question lol

  11. anonymous
    • one year ago
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    ahh sorry

  12. zepdrix
    • one year ago
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    Do you understand what I did with the absolute there? :O Your `stuff` is `x-2`. So you're looking for an option that matches one of these,\[\large\rm \color{royalblue}{x-2}=4\]\[\large\rm \color{royalblue}{x-2}=-4\]

  13. anonymous
    • one year ago
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    so its x-2=-4 would be the next step to solve the equation

  14. zepdrix
    • one year ago
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    Option 4? Yay good job \c:/

  15. anonymous
    • one year ago
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    Thank you so much! algebra is kicking my butt this summer

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