1 1 homework interval and set notation

With this convention, sets are built with parentheses or brackets, each having a distinct meaning. The solutions to x ≥4 x ≥ 4 are represented as [4,∞) [ 4, ∞).

Use a bracket on the left of − 2 − 2 and parentheses after infinity: [ − 2, ∞) [ − 2, ∞). The bracket indicates that − 2 − 2 is included in the set with all real numbers greater than − 2 − 2 to infinity. Use interval notation to indicate all real numbers between −3 − 3 and 5 5, including 5 5.

A General Note: Set-Builder Notation and Interval Notation. Set-builder notation is a method of specifying a set of elements that satisfy a certain condition. It takes the form [latex]left{x|text{statement about }xright}latex] which is read as, “the set of all [latex]x[/latex] such that the statement about [latex]x[/latex] is true.”

This sign means that you are not supposed to go faster than 25 mph, but there are many legal speeds you could drive, such as 22 mph, 24.5 mph or 19 mph. In a situation like this, which has more than one acceptable value, inequalities are used to represent the situation rather than equations.