Mrs. Sung is planning a vacation and wants to save more than $3,400. She already has $670 and is planning on setting aside $80 from every paycheck to fund her vacation. Part A: Write an inequality that could be used to determine the minimum number of paychecks, p, required to fully fund Mrs. Sung's vacation. Part B: Using this inequality, determine the minimum number of paychecks that are required to fully fund Mrs. Sung's vacation and explain your answer.