# 10.6.1. Linear Inequalities

A library offers two types of notebooks; the price of the first is LE and that of the second is LE. If Ali doesn't want to spend more than LE, express a relation that shows how many notebooks he can buy.

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### Example

A library offers two types of notebooks; the price of the first is LE and that of the second is LE. If Ali doesn't want to spend more than LE, express a relation that shows how many notebooks he can buy.

### Solution

Suppose is the number of the first type of notebook Ali buys, and is the number of the second type of notebook he buys. Since the first type of notebook costs each, the total amount Ali will spend on the first type of notebook is . Since the second type of notebook costs each, the total amount Ali will spend on the second type of notebook is . The words "does not want to spend more than" indicate that the inequality that represents this situation should contain a less-than-or-equal-to sign, so the correct inequality is .

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