No and No.
The first one says A is either equal to or a subset set of B, but doesn’t guarantee they’re the same.
The second states that A is strictly a subset of B and not equal to it.
You could give an example of B = {1, 2, 3, 4}
A could be {1, 2} for both questions.
A could be {1, 2, 3, 4} for the first one, but you don’t know that it is for sure.
A cannot be {1, 2, 3, 4} for the second one. You know it has to be missing at least one of the elements of B.
