Simples. There weren’t any carnivores before the fall, at least according to Answers In Genesis. No poisonous plants, no thorns, nothing ever died ever until after Adam ate the apple.
John Scalzi visited the Creation Museum and has a funny bit including coconut-eating T-Rexes. 
When in the context of a “Creation Museum” it’s pretty funny, but unfortunately when it comes to having jurisdiction over school books, it loses a lot of the lol factor. 
Edited because I got the fall and the flood mixed up…easy mistake to make. AIG just says it doesn’t know when the carnivores started eating meat.
So then, according to Genesis 1:29–30, God originally created men and animals to be plant eaters. God’s statement in Genesis 9:3 strengthens this restriction placed on man. Here for the fist time God gives man permission to eat meat. God has not told us exactly when the animals became carnivores. Yet if man obeyed God, he would not have eaten meat until after the Flood and most certainly not before the Fall of Adam.
