SOLUTION: Find the range of values that satisfy |x+3|<10.

Question 1207256: Find the range of values that satisfy |x+3|<10.
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

|x+3| < 10
-10 < x+3 < 10
-10-3 < x+3-3 < 10-3
-13 < x < 7

x is between -13 and 7 excluding both endpoints.

If x was an integer then x can be selected from the set {-12, -11, -10, ..., 4, 5, 6} where the triple dots means to continue that pattern.

In the 2nd step I used the rule that |x| < k leads to -k < x < k for some positive real number k.

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