# 7.5.8. Inequalities

A person has LE and wants to buy a pair of shoes and some shirts. Given that the price of the pair of shoes is LE, and the price of one shirt is LE, determine the the maximum number of shirts the person can buy.

• A7
• B5
• C6
• D9

### Example

A person has LE and wants to buy a pair of shoes and some shirts. Given that the price of the pair of shoes is LE, and the price of one shirt is LE, determine the the maximum number of shirts the person can buy.

### Solution

Write an inequality to show that the price of 1 pair of shoes and some shirts must be less than or equal to . Let represent the number of shirts the person buys, and solve for . It does not make sense to buy a negative number of shirts or a fractional number of shirts, so keep in mind that must belong to the set of natural numbers ().

Then find the greatest possible natural number in the solution set.

So, the solution set is .

The greatest possible solution in the solution set is 7, so the maximum number of shirts the person can buy is 7 shirts.

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