Final answer:
The statement 'This course is hard and lazy students do not study' in symbolic form is represented as 'q \u2227 r', where \u2227 signifies the logical AND operator.
Step-by-step explanation:
If q stands for "This course is hard" and r stands for "Lazy students do not study," then the statement "This course is hard and lazy students do not study" can be written in symbolic form using logical conjunction. In symbolic logic, the conjunction 'and' is often represented by the symbol \u2227, which is known as the logical AND operator. Therefore, the symbolic form of the statement would be:
q \u2227 r
This directly translates to both conditions q and r being true. When using symbolic logic, it's crucial to use the appropriate logical operators to represent the structure of the statements correctly.