Just how difficult this problem is depends on whether you think the Bible's "creation days" are literal 24-hour periods or not. On the third day, God is said to have created plants. This is Genesis 1:11:
The sun did not yet exist, we are told, but was created later, on the fourth day. This is Genesis 1:14-16:
The problem is Minor if you believe the days are 24-hour periods. Obviously plants can survive for a short time without the sun (assuming, that is, that the temperature is kept high enough through other means).
On the other hand, there are inerrantists who believe that the "days" are metaphors for much longer periods of time. In this case, there is a much more difficult problem, since this would put the creation of the sun millions or even billions of years after plants, which is ridiculous.
(Both views are incorrect, of course: the sun actually formed about 4.5 billion years ago, whereas land plants arose about 450 million years ago, give or take. This problem is completely fatal to inerrancy if you believe scientists have a clue.)
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