Start with making a conclusion between the first and third statement. Then, make a final conclusion between the second statement and your first conclusion.
Tracy lives in the eleventh state to enter the Union.
Practice makes perfect
We have been given three statements.
Statement I: If you live in the Bronx, then you live in New York.
Statement II: Tracy lives in the Bronx.
Statement III: If you live in New York, then you live in the eleventh state to enter the Union.
Since the conclusion of Statement I matches the hypothesis of Statement III, let's use the Law of Syllogism to make our first conclusion.
If p → q &is true
and q → r &is true,
then p → r &is true.
Applying the Law of Syllogism, we can make a valid conclusion.
Conclusion I
If you live in the Bronx,
then you live in the eleventh state
to enter the Union.
Next, when we compare Conclusion I and Statement II, we see that Statement II matches the hypothesis of Conclusion I. Thus, we can use the Law of Detachment to make a final conclusion between Statement III and Conclusion I.
If p → r &is true
and p &is true,
then r &is true.
Having used the Law of Detachment, we have our final conclusion.
Conclusion II
Tracy lives in the eleventh state
to enter the Union.
