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6 April, 23:15

Consider this equation. |y + 6| = 2 What can be concluded of the equation? Check all that apply. There will be one solution. There will be two solutions. The solution to - (y + 6) = 2 will be also be a solution to the given absolute value equation. The solution (s) will be the number (s) on the number line 2 units away from - 6. The value of y must be positive since the variable is inside absolute value signs.

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Answers (2)
  1. 6 April, 23:20
    0
    See below.

    Step-by-step explanation:

    |y + 6| = 2

    This means y + 6 = 2 or y + 6 = - 2 giving y = - 4, y = - 8.

    Answers:

    So we have 2 solutions.

    The solution to - (y + 6) will also be a solution to the absolute equation.

    The solutions will be the numbers on the number line 2 units away from - 6.
  2. 6 April, 23:44
    0
    There will be two solutions

    Step-by-step explanation:

    The equation |y+6| = 2 will give us 2 values of y because of the modulus sign. The modulus sign shows that the value of y+6 will be next a negative and positive value. Solving the equation. If |y+6| is positive we have;

    y+6 = 2

    y = 2-6

    y = - 4

    If |y+6| is negative, the equation becomes;

    - (y+6) = 2

    -y-6 = 2

    -y = 2+6

    -y = 8

    y = - 8

    This shows that there will be 2solutions. The solutions are - 4 and - 8
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