When Lyddie can hardly breath in the Factory its an example of Man vs Nature. On page 75, it says", Now that she thought of it she could hardely breath, the air was so laden with moisture and debris."
When Lyddie was arguing with the other girls about signing the petition it was an example of Man vs Society. On page 92, it says,"That's it! I wait til' I've got all the money I need, sign the petition, and exit the city of spindles in veritable fireworks of defiance."