You are at the music store to buy some CDs. You have $45 to spend and the store sells CDs for 12.99 each. Write an inequality that represents the number, n, of CDs that you can buy without spending more money than you have.

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12.99n < 45

To solve this problem, we need to set up an inequality that represents the number of CDs, n, that you can buy without spending more money than you have.

The price of each CD is $12.99, and you have $45 to spend.

The inequality can be written as:
12.99n ≤ 45

Explanation:
- The variable n represents the number of CDs you can buy.
- The left side of the inequality, 12.99n, represents the total cost of n CDs at $12.99 each.
- The right side of the inequality, 45, represents the maximum amount of money you have to spend.
- The inequality symbol, ≤, indicates that the total cost of the CDs must be less than or equal to the amount of money you have ($45).

To find the maximum number of CDs you can buy without spending more money than you have, you can rearrange the inequality to solve for n:
n ≤ 45 / 12.99

Approximately, this gives:
n ≤ 3.464

Since you cannot buy a fraction of a CD, the maximum number of CDs you can buy is 3 CDs, without spending more money than you have.

In conclusion, the inequality 12.99n ≤ 45 represents the number, n, of CDs that you can buy without spending more money than you have is n ≤ 3.