|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~ :)