Concept explainers
a.
The solution of the statement of indirect proof.
a.
Explanation of Solution
Given information:
Luisa’s local library conducted an online poll of teens to find out what activities teens participate into preserve the environment. The result of the poll are shown in the graph below:
Prove the following statement. More than half of teens polled said that they recycle to preserve the environment.
Calculation:
In an indirect proof or proof by contradiction, assume that the conclusion is false. By showing the assumption to be logically impossible, prove the assumption is false and the original conclusion is true. For this problem, assume that less than
Following steps are used for the indirect proof are as shown below:
The data shows that
This contradicts the data given. Therefore, the assumption is false, and the conclusion more than half of the teens polled said they recycle must be true.
b.
The verification of the statement.
b.
Explanation of Solution
Given information:
Luisa’s local library conducted an online poll of teens to find out what activities teens participate into preserve the environment. The result of the poll are shown in the graph below:
If
Calculation:
From the given information,
Chapter 5 Solutions
Geometry, Student Edition
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