Answer all the following questions regarding $C$ language.

a$.$ What are the different data types available in C$?$ Provide an example for each data type.

b$.$ List the operators used in C language for: assignment, inequality comparison, autoincrement by one of an integer value.

c$.$ Write the command to check if a number $($not necessarily integer$)$ is within a range of two numbers saved in variables a and $b.$