# Problem Solving Using Inequalities

We solve each inequality separately and then consider the two solutions.

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There are different rates for Conservation Usage, Normal Usage and Excessive Usage.

The usage is measured in the number of hundred cubic feet (hcf) the property owner uses.

How many hcf can the owner use if she wants her usage to stay in the conservation range?

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

The number two is shaded on both the first and second graphs. This is how we will show our solution in the next examples. Just as the United States is the union of all of the 50 states, the solution will be the union of all the numbers that make either inequality true.

## Intrusion Detection Data Mining Thesis - Problem Solving Using Inequalities

There are no numbers that make both inequalities true. There are no numbers that make both inequalities true. There are no numbers that make both inequalities true. To find the solution of the compound inequality, we look at the graphs of each inequality, find the numbers that belong to either graph and put all those numbers together.To write the solution in interval notation, we will often use the union symbol, ∪∪ to show the union of the solutions shown in the graphs.Situations in the real world also involve compound inequalities.How many hcf will he be allowed to use if he wants his usage to stay in the normal range?Penelope is playing a number game with her sister June.During the summer, a property owner will pay .72 plus

There are no numbers that make both inequalities true. There are no numbers that make both inequalities true. There are no numbers that make both inequalities true. To find the solution of the compound inequality, we look at the graphs of each inequality, find the numbers that belong to either graph and put all those numbers together.

To write the solution in interval notation, we will often use the union symbol, ∪∪ to show the union of the solutions shown in the graphs.

Situations in the real world also involve compound inequalities.

How many hcf will he be allowed to use if he wants his usage to stay in the normal range?

Penelope is playing a number game with her sister June.

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There are no numbers that make both inequalities true. There are no numbers that make both inequalities true. There are no numbers that make both inequalities true. To find the solution of the compound inequality, we look at the graphs of each inequality, find the numbers that belong to either graph and put all those numbers together.To write the solution in interval notation, we will often use the union symbol, ∪∪ to show the union of the solutions shown in the graphs.Situations in the real world also involve compound inequalities.How many hcf will he be allowed to use if he wants his usage to stay in the normal range?Penelope is playing a number game with her sister June.During the summer, 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 $57.06 and$171.02.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.$\begin & & \\ & & \\ \end \nonumber$ To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement.We solve compound inequalities using the same techniques we used to solve linear inequalities.

.54 per hcf for Normal Usage.The bill for Normal Usage would be between or equal to .06 and 1.02.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.$\begin & & \ & & \ \end \nonumber$ To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement.We solve compound inequalities using the same techniques we used to solve linear inequalities.

## Comments Problem Solving Using Inequalities

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