Which statements are true? $($check all that apply$)$

C$++$ does not contain any of C$\text{'}$s low$-$level capabilities.

$C++$ is based on the $C$ language.

C$++$ programs can be written on one type of computer and then run on many other types of systems.

The $C$ language was invented for the purpose of writing operating systems and compilers.

C$++$ is popular even though it lacks portability.