SOLUTION: How any integers are in the solution of the inequality |x+4|<9?

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Question 477225: How any integers are in the solution of the inequality |x+4|<9?
Found 2 solutions by Alan3354, richard1234:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2
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x = 5
x = -13

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We can let y = x+4 and find all integers that satisfy |y| < 9. The only integers that y could be are -8,-7,...,7,8 (y cannot equal +/- 9). The set {-8,-7,...,7,8} has 17 elements, and since each possible value of y corresponds to a value of x, there are 17 integer solutions for x.