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31 July, 16:22

For what values of a are the following expressions true?

|a+5|=-5-a

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Answers (1)
  1. 31 July, 16:41
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    a can be any real number less than equal to - 5

    Step-by-step explanation:

    When a+5 is negative,

    a + 5 = - (-5 - a)

    a + 5 = a + 5

    All values satisfy the equation

    So a < - 5

    When a + 5 is greater than/equal to 0,

    a + 5 = - a - 5

    2a = - 10

    a = - 5

    a can be any real number less than equal to - 5
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