math

|n+1|<4 How many values of the integer n will make the inequality a true statement?

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  1. we'll solve this in two cases:
    Case I: absolute value is positive.
    |n+1| < 4
    n+1 < 4
    n < 3

    Case II: absolute value is negative.
    |n+1| < 4
    -(n+1) < 4
    n+1 > -4
    n > -5

    getting the intersection (common between them) of the two answers, thus
    n must be greater than -5 but less than 3, or
    -5 < n < 3

    hope this helps~ :)

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    posted by Jai

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