Final answer:
a. The inequality that represents the amount of money left in Nikki's budget is x > 875 - 361. b. The solution to the inequality is x > 514.
Step-by-step explanation:
a. Let's represent the amount of money left in Nikki's budget as x. The amount she has already spent on airfare is $361. The inequality that represents the amount of money left in Nikki's budget is x > 875 - 361, since she has budgeted $875 and has already spent $361.
b. To find the solution to the inequality, we simplify the expression on the right side of the inequality. 875 - 361 equals 514. Therefore, the solution to the inequality is x > 514, which means Nikki has more than $514 dollars left in her budget.