What is a compound Boolean expression?

A simple Boolean expression is an expression that compares two values using comparison operators such as equal to (==), not equal to (!=), less than (<), greater than (>), less than or equal to (<=), or greater than or equal to (>=). The result of a simple Boolean expression is either True or False. Examples of simple Boolean expressions are: x == y, a != b, and n <= 10.

Logical operators are used to combine simple Boolean expressions. There are three main logical operators: 1. AND (represented by '&&' or 'and'): This returns True if both of the simple expressions are True, otherwise, it returns False. 2. OR (represented by '||' or 'or'): This returns True if any one of the simple expressions is True, otherwise, it returns False. 3. NOT (represented by '!' or 'not'): This returns the opposite of the expression it is applied to, i.e., if the expression has a truth value of True, it will return False, and vice versa.

Now that we have a basic understanding of simple Boolean expressions and logical operators, we can create compound Boolean expressions using these elements. A compound Boolean expression is achieved by using one or more logical operators to combine two or more simple Boolean expressions. Here are some examples of compound Boolean expressions: 1. (x > 5) && (y < 10): This expression will return True if x is greater than 5 and y is less than 10. 2. (a == b) || (c != d): This expression will return True if either a is equal to b or c is not equal to d. 3. !(n >= 20): This expression will return True if n is not greater than or equal to 20, i.e., if n is less than 20. Compound Boolean expressions are typically used in programming for conditional statements, loops, and other control structures where multiple conditions must be checked.