Final answer:
Two propositions can be incompatible even though both are false.
Step-by-step explanation:
The answer is B. False.
Two propositions can be incompatible even though both are false. In logic, a proposition is a statement that can be either true or false. Incompatibility occurs when two propositions cannot both be true at the same time. For example, consider the propositions
'This cat is black' and 'This cat is a dog.' Both propositions are false, but they are also incompatible because a cat cannot be both black and a dog. So, even though they are both false, they are still incompatible.