What Edwards means when he says that sinners “hang by a slender thread” is that "there is little that protects sinners from God’s fury," option B.
Jonathan Edwards was a philosopher and theologian most famous for his sermon "Sinners in the Hands of an Angry God." The purpose of this sermon was to make listeners afraid of going to hell and, consequence, to have them repent for their sins.
In the passage we are analyzing here, Edwards says people "hang by a slender thread" above the "flames of wrath." What he means by this imagery is that there is little protecting sinners from God's fury. This thread is most likely God's mercy since, according to Edwards, there is nothing we can do to induce God to spare us.
With the information above in mind, we can choose option B as the correct answer.
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