# Problem Solving Using Inequalities

$\begin & & \ & & \ \end \nonumber$ To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement.

Now that we know how to solve linear inequalities, the next step is to look at compound inequalities.

A compound inequality is made up of two inequalities connected by the word “and” or the word “or.” For example, the following are compound inequalities.

During the winter, a property owner will pay $24.72 plus$1.54 per hcf for Normal Usage.

The bill for Normal Usage would be between or equal to $49.36 and$86.32.

We will use the same problem solving strategy that we used to solve linear equation and inequality applications.

Recall the problem solving strategies are to first read the problem and make sure all the words are understood.

Write a compound inequality that shows the range of numbers that Penelope might be thinking of.

Gregory is thinking of a number and he wants his sister Lauren to guess the number.

How many hcf can the owner use if he wants his usage to stay in the normal range?

Example $$\Page Index$$ Due to the drought in California, many communities now have tiered water rates.

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