The instructions are to write an inequality for this, not solve. I would like to see it solved though.
Update:Rest of problem:
......the hotel is $165 per day. How many days can she stay, if she has $750 to spend on hotel and meals?
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Verified answer
750 is the most you can spend, so
750 >= 45x+165x. Or, 750 >= 210x, where x is the number of days spent on vacation. Solving for that, the largest x can be is 3, because then the cost is 630. If Marla spends 4 days on vacation, it would cost 840.
If you are allowing decimals, it would be slightly different, but that is the inequality at least.