## Description

Programs often rely on conditional logic, such as if statements. To control these functions, there is a special data type, called boolean (abbreviated to `bool` in Python) which may have only one of two values, `true` or `false`. A basic boolean is generated by comparing two values or objects using one of 8 comparators:

- $>$ is
`>` - $<$ is
`<` - $\geq$ is
`>=` - $\leq$ is
`<=` - $=$ is
`==` - $\neq$ is
`!=` `is`tests if two items reference the same object`is not`does the same, but is inverted, similar to`==`and`!=`

The `is` and `is not` comparators are not often used in the basic Python programming usually seen in Sage, but are included just in case.

## Sage Cell

#### Code

```
print 5 > 3
print 5 < 3
print 5 >= 3
print 5 <= 3
print 5 == 3
print 5 != 3
```

#### Boolean Operators

If we want a single boolean value based on multiple conditions, we use one or more of the 3 boolean operators. These operators are

`and`: the statement is true if all components are true`or`: the statement is true if one or more components are true`not`: this inverts a statement or component. For example, if`a`is false,`not a`is true.

The operators are listed in ascending priority, meaning Sage will evaluate all `or` operations, then all `and` operations, then all `not` operations. All 3 operators have lower priority than the 8 comparators listed above.

## Options

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Date: 31 Mar 2019 00:14

Submitted by: Zane Corbiere