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Algebra

Write the solution set of the inequality |x + 2| < 5 in the interval notation.

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  1. |x+2| < 5
    x+2 < 5 AND -x-2 < 5
    x < 3 AND x > -7

    I always taught this notation:
    -7 < x < 3

    I will let you convert to your notation

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  2. (x+2) < 5 and -(x+2) <5

    x < 3 and (x+2) > -5

    x < 3 and x > -7
    which is
    -7 < x < 3

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  3. (-7,3) I think
    I do not do interval notation either.

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  4. Interval notation: (-7,3)

    If it was included (less than or equal to/greater than or equal to) you would use a bracket [ or ].

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  5. Yes.

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