interval_notation
Differences
This shows you the differences between two versions of the page.
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interval_notation [2010/08/03 16:20] 127.0.0.1 external edit |
interval_notation [2018/09/23 21:48] (current) rthomas |
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| * If an endpoint is included, then use [ or ]. If not, then use ( or ). For example, the interval from -3 to 7 that includes 7 but not -3 is expressed (-3,7]. | * If an endpoint is included, then use [ or ]. If not, then use ( or ). For example, the interval from -3 to 7 that includes 7 but not -3 is expressed (-3,7]. | ||
| - | * For infinite intervals, use **I**, **Inf**, **Infty**, or **Infinity** for ∞ (positive infinity) and **-I**, **-Inf**, **-Infty**, or **-Infinity** for -∞ (negative infinity). For example, the infinite interval containing all points greater than or equal to 6 could be expressed [6,infinity). | + | * For infinite intervals, use **Infinity** for ∞ (positive infinity) and **-Infinity** for -∞ (negative infinity). For example, the interval containing all points greater than or equal to 6 could be expressed [6,infinity). |
| * If the set includes more than one interval, they are joined using the union symbol **U**. For example, the set consisting of all points in (-3,7] together with all points in [-8,-5) is expressed [-8,-5)U(-3,7]. | * If the set includes more than one interval, they are joined using the union symbol **U**. For example, the set consisting of all points in (-3,7] together with all points in [-8,-5) is expressed [-8,-5)U(-3,7]. | ||
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| * If the answer is the empty set, you can specify that by using braces with nothing inside: { } | * If the answer is the empty set, you can specify that by using braces with nothing inside: { } | ||
| - | * You can use **R** as a shorthand for all real numbers. So, it is equivalent to entering (-infinity, infinity). | + | * You can use **R** as a shorthand for all real numbers. This is equivalent to entering (-infinity, infinity). |
| - | * You can use set difference notation. So, for all real numbers except 3, you can use R-{3} or (-infinity, 3)U(3,infinity) (they are the same). Similarly, [1,10)-{3,4} is the same as [1,3)U(3,4)U(4,10). | + | * You can use set difference notation. So, for all real numbers except 3, you can use R-{3} or (-infinity, 3)U(3,infinity). Similarly, [1,10)-{3,4} is the same as [1,3)U(3,4)U(4,10). |
| * WebWork will not interpret [2,4]U[3,5] as equivalent to [2,5], unless a problem tells you otherwise. All sets should be expressed in their simplest interval notation form, with no overlapping intervals. | * WebWork will not interpret [2,4]U[3,5] as equivalent to [2,5], unless a problem tells you otherwise. All sets should be expressed in their simplest interval notation form, with no overlapping intervals. | ||
interval_notation.1280877644.txt.gz · Last modified: 2010/08/03 16:20 by 127.0.0.1
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