Interval Notation
Interval Notation
Interval Notation
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Summary of <strong>Interval</strong> <strong>Notation</strong>An interval on the real number line is a set of points on the line less than or less than or equal to somevalue, greater than or greater than or equal to some value, or between two numbers, either including ornot including the endpoints. We can indicate intervals by writing an inequality, graphing them on thereal number line, or by using interval notation.Values of x Graph of <strong>Interval</strong> <strong>Interval</strong> <strong>Notation</strong>all x on the line( −∞,∞)Openx < 3less than 3, notincluding 3 3x < 3less than 3 orequal to 3 3x > 3greater than 3,not including 3x > 3greater than 3 orequal to 33 < x < 5between 3 and 5,not including 3and 5 3 53< x < 5between 3 and 5,including 3 butnot including 5 3 53 < x < 5between 3 and 5including 5 butnot including 3 3 53 < x < 5between 3 and 5including both 3and 5 3 533(- ∞ , 3)Open(- ∞ , 3]Half Open(3, ∞ )Open[3, ∞ )Half Open(3,5)Open[3,5)Half Open(3,5]Half Open[3,5]Closed
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