A child process inherits whatever nice value is held by the parent at the time that it is forked (in your example, 5).
However, if the nice value of the parent process changes after forking the child processes, the child processes do not inherit the new nice value.
You can easily observe this with the monitoring tool top. If the nice field (NI) is not shown by default, you can add it by pressing f and choosing I. This will add the NI column to the top display.
* I: NI = Nice value
PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND
1937 root 20 0 206m 66m 45m S 6.2 1.7 11:03.67 X
Good information from man 2 fork
fork() creates a new process by duplicating the calling process. The new process, referred to as the child, is an exact duplicate of the calling process, referred to as the parent, except for the following points:
- The child has its own unique process ID, and this PID does not match
the ID of any existing process group (setpgid(2)).
- The child's parent process ID is the same as the parent's process ID.
- The child does not inherit its parent's memory locks (mlock(2), mlockall(2)).
- Process resource utilizations (getrusage(2)) and CPU time counters (times(2)) are reset to zero in the child.
- The child's set of pending signals is initially empty (sigpending(2)).
- The child does not inherit semaphore adjustments from its parent (semop(2)).
- The child does not inherit record locks from its parent (fcntl(2)).
- The child does not inherit timers from its parent (setitimer(2), alarm(2), timer_create(2)).
- The child does not inherit outstanding asynchronous I/O operations from its parent (aio_read(3), aio_write(3)), nor does it inherit any asynchronous I/O contexts from its parent (see io_setup(2)).