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anonymous

  • one year ago

What is the solution set for the equation |2x-3|=6? please explain how you get your answer

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  1. freckles
    • one year ago
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    |2x-3|=6 means you have two equations to solve: 2x-3=6 or 2x-3=-6

  2. freckles
    • one year ago
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    in general if a is positive and you have |f(x)|=a then we have f(x)=a or f(x)=-a.

  3. anonymous
    • one year ago
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    ok

  4. freckles
    • one year ago
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    anyways all you have to do now is solve the following two linear equations: 2x-3=6 , 2x-3=-6

  5. freckles
    • one year ago
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    can you do that?

  6. freckles
    • one year ago
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    solving 2x-3=6 is only 2 steps solving 2x-3=-6 is also only 2 steps

  7. anonymous
    • one year ago
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    ok

  8. anonymous
    • one year ago
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    so for 2x-3=6 x=4.9 and for 2x-3=-6 x=-1.5?

  9. freckles
    • one year ago
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    9/2 should be 4.5

  10. freckles
    • one year ago
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    but yes the solution you have to the last equation you wrote is right

  11. anonymous
    • one year ago
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    ok

  12. freckles
    • one year ago
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    the solution set is {9/2,-3/2} or if you want to write in decimal form {4.5,-1.5}

  13. anonymous
    • one year ago
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    oh ok thank you!!!

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