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anonymous

  • one year ago

What is the sum of the solutions of 2[x-1]-4=-2?

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  1. Directrix
    • one year ago
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    Are these brackets for absolute value or the greatest integer function or something else? @kaitlyn9695

  2. anonymous
    • one year ago
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    Honestly, I'm not sure. I got this question wrong and I'm trying to figure out how to solve it:/

  3. anonymous
    • one year ago
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    This is what it looks like on my paper

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  4. anonymous
    • one year ago
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    |x-1| means the absolute value of x-1

  5. anonymous
    • one year ago
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    Absolute value of 1 = 1 Absolute value of -1 = 1

  6. anonymous
    • one year ago
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    Absolute value just means distance away from zero

  7. anonymous
    • one year ago
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    so it would be 2 [1]-4=-2

  8. anonymous
    • one year ago
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    don't take it into account at first

  9. anonymous
    • one year ago
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    solve for x

  10. Directrix
    • one year ago
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    >>so it would be 2 [1]-4=-2 No

  11. shaik0124
    • one year ago
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    2[x-1]-4=-2? put x=0 2[0-1]-4=2*(-1)-4 =-2-4=-6 since -6 is not equal to -2, 0 is not a solution now try with another number lets take x=2 now 2[2-1]-4=2*1-4 =-2 since -2 is equal to -2 x=2 is a solution similarly consider other values of x which satisfies the equation and add all those which satifies the equation

  12. shaik0124
    • one year ago
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    @kaitlyn9695 got it?

  13. anonymous
    • one year ago
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    Yes thank you very much! Seeing it broken down was very helpful! This is my last class before I graduate and its a big pain in the butt!

  14. anonymous
    • one year ago
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    and the add 2 to each side came from the 4?

  15. shaik0124
    • one year ago
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    on the right hand side 2 is negative so -2+2 will be 0

  16. anonymous
    • one year ago
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    okay I understand now. When I do future equations like this I just need to plug in the multiple choice option and see if its equal

  17. shaik0124
    • one year ago
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    yeah

  18. shaik0124
    • one year ago
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    or u can do like this 2[x-1]-4=-2 add 2 on both sides then u will get 2[x-1]-4+2=-2+2 2[x-1]-2=0 again add 2 on both sides then u will get 2[x-1]=2 divide by 2 the equation will be x-1=1 add 1 on both sides x=2

  19. shaik0124
    • one year ago
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    Just plugin

  20. shaik0124
    • one year ago
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    have u understood the way i solved

  21. anonymous
    • one year ago
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    It makes a lot more sense now. Thank you! You're a great teacher

  22. shaik0124
    • one year ago
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    u can plugin or directly obtain the value of variable by adding or subtracting (whatever is required

  23. shaik0124
    • one year ago
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    U can take my help anytime pleasure to help u

  24. anonymous
    • one year ago
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    Thank you, I will let you know if I get stuck again.

  25. shaik0124
    • one year ago
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    sure

  26. zepdrix
    • one year ago
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    \[\large\rm 2|0-1|-4=-2\]Absolute value of -1 is 1,\[\large\rm 2(1)-4=-2\]\[\large\rm -2=-2\] @shaik0124 Is true, so x=0 `is` a solution. They wanted the `sum of the solutions` though, 2 + 0 = 2, so missing that doesn't really affect your answer :)

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