Kevin C. answered 08/27/14
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Successful Math Tutor -- Recently retired high school math teacher
This notation is called the interval notation, where the square bracket, [, indicates the number following can be equal to the variable, and the parenthesis indicates that it cannot.
Therefore, in other notation, this interval is: -4≤x<0 or 10<x<21. In words, x lies between -4 and 0, inclusive of -4 and exclusive of 0, or between 10 and 21 exclusive of both.
I hope this clears it up.
Kevin C.
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My pleasure.
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