If the county says "you need to stay home if X" and the state says "you need to stay home if Y" then the effect is "you need to stay home if X OR Y". There's no contradiction.
More frequently though the effect is that people think "our politicians do not know what are they doing; I will do what I think is reasonable" and do what they want.
"you need to stay home if X OR Y" is the safe bet, but it's not always required, sometimes one thing preempts (invalidates) another. I'm not sure if that happens in this case or not though.
Consult a lawyer via telephone if it matters I guess.