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Logic and sets
Reading time: 1minYou can verify whether a statement is true or false. Use it to test identities, for example. There are logical (Boolean) operators which you can use to combine statements. You can make statements about sets. There are two types of them:
- finite sets: a list of elements inside curly brackets, such as
{1,2,3}. - standard number sets: represented by standard symbols, for example,
R.
You can make operations with the finite sets but not with the others. You can also work with intervals and do operations with them.
| Intervals | |
|---|---|
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The interval (a,b), that is all the numbers x between a and b: a<x<b. |
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The interval (a,b], that is all the numbers x between a and b including b: a<x≤b. |
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The interval [a,b), that is all the numbers x between a and b including a: a≤x<b. |
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The interval [a,b], that is all the numbers x between a and b including both a and b: a≤x≤b. |
The main operations you can perform are described below.
| Logic and sets | |
|---|---|
| Actions | |
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Verify |
| Buttons about logic | |
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Equal to |
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Not equal to |
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Less-than sign |
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Greater-than sign |
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Less than or equal to |
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Greater than or equal to |
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Logical and |
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Logical or |
| Buttons about sets | |
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List |
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Element of |
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Contains as member |
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Union |
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Intersection |
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Set minus |
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Natural numbers |
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Integer numbers |
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Rational numbers |
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Real numbers |
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Complex numbers |




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