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

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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