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anonymous

  • one year ago

The table shows the solution to the equation |2x - 5| - 2 = 3: Step 1 |2x - 5| = 3 + 2 Step 2 |2x - 5| = 5 Step 3 2x - 5 = 5 or 2x - 5 = -5 Step 4 2x = 10 or 2x = 0 Step 5 x = 5 or x = 0 Which is the first incorrect step? Step 3 Step 4 Step 5 Solution is correct

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  1. anonymous
    • one year ago
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    Try solving this Q yourself. I'll help you out wherever you need it.

  2. anonymous
    • one year ago
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    I don't think any are.

  3. anonymous
    • one year ago
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    So you think it's D?

  4. anonymous
    • one year ago
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    I think so.

  5. anonymous
    • one year ago
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    Let's see… (Give me 2 mins to solve it and show you)

  6. anonymous
    • one year ago
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    okay :)

  7. anonymous
    • one year ago
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    Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case. The Absolute Value term is |2x-5| For the Negative case we'll use -(2x-5) For the Positive case we'll use (2x-5)

  8. anonymous
    • one year ago
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    Is everything clear so far?

  9. anonymous
    • one year ago
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    yes!

  10. anonymous
    • one year ago
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    Solve the Negative Case -(2x-5) = 5 Multiply -2x+5 = 5 Rearrange and Add up -2x = 0 Divide both sides by 2 -x = 0 Multiply both sides by (-1) x = 0 Which is the solution for the Negative Case

  11. anonymous
    • one year ago
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    Distribution is aka Multiply

  12. anonymous
    • one year ago
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    Solve the Positive Case (2x-5) = 5 Rearrange and Add up 2x = 10 Divide both sides by 2 x = 5 Which is the solution for the Positive Case

  13. anonymous
    • one year ago
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    Clear?

  14. anonymous
    • one year ago
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    Yes!

  15. anonymous
    • one year ago
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    Wrap up the solution x=0 x=5

  16. anonymous
    • one year ago
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    So, your initial answer is correct! Anything you'd like me to explain more for?

  17. anonymous
    • one year ago
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    Nope, u made it crystal clear.

  18. anonymous
    • one year ago
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    Awesome to know! :)

  19. mathstudent55
    • one year ago
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    Just follow the steps in the problem. Every step is correct, so there are no mistakes. I don't see the reason to complicate this problem.

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