Final answer:
The inequality -4x + 35 > 3x + 14 can be solved by isolating x on one side of the inequality symbol. The correct answer in interval notation is A) x < 7.
Step-by-step explanation:
The inequality -4x + 35 > 3x + 14 can be solved by isolating x on one side of the inequality symbol. First, we subtract 3x from both sides to get -7x + 35 > 14. Then, we subtract 35 from both sides to get -7x > -21. Finally, we divide both sides by -7, remembering to reverse the inequality symbol, to get x < 3.
Therefore, the correct answer in interval notation is A) x < 7.