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hayden solved this equation using the steps shown. |x-3|=4. step 1: x-3=4. step 2: x-3+3=4+3. solution: x=7. based on the definition of absolute value, what additional step should hayden do to determine the complete solution to the equation?

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  1. 24 May, 03:39
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    step 3: x - 3 = - 4

    step 4: x - 3 + 3 = - 4 + 3

    second solution: x = - 1

    Step-by-step explanation:

    The definition of absolute value is:

    |x| = y - > x = y or x = - y

    Hayden did only the first part:

    |x-3|=4 - > x-3 = 4

    And he found the first solution: x = 7.

    But know he needs to do the second part, that is, make the right side equal the negative of the left side:

    step 3: x - 3 = - 4

    step 4: x - 3 + 3 = - 4 + 3

    second solution: x = - 1
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