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Write the converse of the following statement and determine its truth value.

"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"

Write the converse of the following statement and determine its truth value. &quot-example-1
User Lisak
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1 Answer

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Answer:

1) The convers of the conditional statement is;

If the ratio of lefties to righties is 1:8, then a class has 3 left-handed people and 24 right-handed people

2) The convers of the conditional statement is true

Explanation:

1) The given statement is presented as follows;

"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"

The hypothesis = A class has 3 left-handed people and 24 right-handed people = p

The conclusion = The ratio of lefties to righties is 1:8 = q

We have;

If p, then q which is p → q

The converse statement = If q, then p which is q → p

Then the converse of the conditional statement can be written as follows;

If the ratio of lefties to righties is 1:8, then a class has 3 left-handed people and 24 right-handed people

2) Given that the ratio of 3:24 = 1:8, we have that both the hypothesis and the conclusion are true, therefore, the converse of the conditional statement is true.

User Ryan Lester
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