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savannahdc

  • 3 years ago

What is the solution set of |x – 4| + 7 = 4?

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  1. imranmeah91
    • 3 years ago
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    subtract 7 from both side

  2. polpak
    • 3 years ago
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    subtract the 7 from both sides, then solve it the same way you did the last one.

  3. pk51
    • 3 years ago
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    I don't think the equation has any real solutions.

  4. kushashwa
    • 3 years ago
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    |x-4|+7=4 Since 7 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 7 from both sides. |x-4|=-7+4 Add 4 to -7 to get -3. |x-4|=-3 Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x. x-4=\(-3) Set up the portion of the \ solution. x-4=-3 Move all terms not containing x to the right-hand side of the equation. x=1 Set up the - portion of the \ solution. x-4=-(-3) Multiply -1 by the -3 inside the parentheses. x-4=3 Since -4 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 4 to both sides. x=4+3 Add 3 to 4 to get 7. x=7 The solution to the equation includes both the positive and negative portions of the solution. x=1,7

  5. Rizaldo
    • 3 years ago
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    x = 1, 7

  6. satellite73
    • 3 years ago
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    no chance

  7. polpak
    • 3 years ago
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    That's true actually.

  8. mathematicalpro
    • 3 years ago
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    yup,no solutions

  9. polpak
    • 3 years ago
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    kushash.. your script doesn't work for this.

  10. kushashwa
    • 3 years ago
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    why polpak .

  11. polpak
    • 3 years ago
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    Because |x - 4| can not equal -3. Ever.

  12. kushashwa
    • 3 years ago
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    where i did wrong tell me

  13. polpak
    • 3 years ago
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    I did..

  14. kushashwa
    • 3 years ago
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    what u mean , given |x-4|+7=4 then can't we transpose +7 to right hand side getting |x-4|=4-7 |x-4|=-3

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