Why did Mr. Bedford from The First Men in the Moon not want to go to the at first?

The answer is here:

   Mr. Bedford didn't want to go to the moon at first because he was uneasy and anxious about going on the rocket because he thought at first it was dangerous; not safe and he was also uneasy about what happened

to himself

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the sentence that avoid faulty coordination is:

culture, which is well represented in philadelphia, plays a major role including theatre, music, and the visual arts.  

faulty coordination occurs when the writer gives equal importance two different ideas (clauses) which in fact are not equivalent. in order to correct a misplaced clause or idea, the writer can place less important or emphatic ideas in a relative clause as in the previous sentence.  

what lesson are you referencing?