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GalacticPlunder

  • one year ago

Explain the steps in solving the following absolute value equation. 2|x−2|=12. (There should be two answers)

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  1. jigglypuff314
    • one year ago
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    Hello @GalacticPlunder :) Sorry for the slightly late response :-/ first we should try to get the absolute values alone on one side so I suggest dividing both sides by 2 first :) can you do that?

  2. GalacticPlunder
    • one year ago
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    So it world be: x-2 = 6. Then if I add two it would be x = 8 right? My teacher said there should be two answers though. I don't know what that means :/

  3. jigglypuff314
    • one year ago
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    it's just saying that for example if |x| = 2 then if can be split up into two equations: x = 2 and x = -2 this way: |x - 2| = 6 can be split up into x - 2 = 6 and x - 2 = -6

  4. GalacticPlunder
    • one year ago
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    How can it be split into two equations?

  5. jigglypuff314
    • one year ago
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    the absolute value means that anything inside it comes out as a positive value absolute value of +2 = | 2 | = 2 and | - 2 | = 2 so if a "variable" is in the absolute value, there can be two answers (one for the positive/normal idea, and one for the negative idea)

  6. GalacticPlunder
    • one year ago
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    ohhhh Thanks so much!

  7. GalacticPlunder
    • one year ago
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    Could you help me with another?

  8. jigglypuff314
    • one year ago
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    sure thing :)

  9. GalacticPlunder
    • one year ago
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    How do you show where an inequality is true on a number line?

  10. GalacticPlunder
    • one year ago
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    Also this was added: "let's say you had a solution of x>2. How would you show this on a number line"

  11. jigglypuff314
    • one year ago
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    |dw:1439315529603:dw|

  12. jigglypuff314
    • one year ago
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    you would start on \(2\) :P then if the inequality > < thing has a line under it, it would mean \(include~the~number\) and be a dark circle (not the hollow one I drew) if the wider part of the > is facing the variable like \(x>\) that means you should shade the numbers Bigger than the given number

  13. GalacticPlunder
    • one year ago
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    Thanks! Could you help me with one last problem?

  14. jigglypuff314
    • one year ago
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    of course :)

  15. GalacticPlunder
    • one year ago
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    What is a literal equation? How is solving a literal equation different from solving a one- or two-step equation?

  16. jigglypuff314
    • one year ago
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    A literal equation is an equation that is made up of all letters [variables] for example: \(A=b*h\) The difference between a one- or two-step equation and a literal equation is that in a one- or two-step equation, the aim (usually) is to get a numerical answer (a number as the answer). But for a literal equation, solving for a variable simply rearranges the original equation. Sorry if that's a little confusing, here's a link about literal equations that describes it better :) http://www.purplemath.com/modules/solvelit.htm

  17. GalacticPlunder
    • one year ago
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    Awesome! Thank you so much!

  18. jigglypuff314
    • one year ago
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    Glad I could help :)

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