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.
|
|
|
