Set builder notation, Mathematics

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For inequalities we contain a similar notation.  Based on the complexity of the inequality the solution set might be a single number or it might be a range of numbers. If it is just one single number then we uses the same notation as we do for equations.  If the solution set is a range of numbers, such as we looked at above is, we will use set builder notation. Following is the solution set for the inequality we looked at above.

                                                    {z | z ≥ -5}

It is read as : "The set of all z such that z is greater than or equal to -5".

Mostly inequalities that we will be looking at will have easy enough solution sets that we frequently just shorthand this as,

                                                                      z ≥ -5


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