Concept explainers
a.
To conclude the relation between the given true statement and additional statement.
a.
Answer to Problem 11WE
Jose Avila can be a senator.
Explanation of Solution
Given:
True condition: “All senators are at least 30 years old.”
Additional statement: Jose Avila is 48 years old.
It can be concluded from the given statement that Jose Avila can be senator. It is not compulsory for her to be a senator.
Conclusion:
Therefore, Jose Avila can be a senator.
b.
To conclude the relation between the given true statement and additional statement.
b.
Answer to Problem 11WE
Rebecca Castelloe is a senator.
Explanation of Solution
Given:
True condition: “All senators are at least 30 years old.”
Additional statement: Rebecca Castelloe is a senator.
It can be concluded from the additional statement that Rebecca Castelloe is more than or equal to 30 years of age as it is given that all senators are at least 30 years old.
Conclusion:
Therefore, Rebecca Castelloe is a senator.
c.
To conclude the relation between the given true statement and additional statement.
c.
Answer to Problem 11WE
Constance Brown can be of 30 years of age or less or more than that.
Explanation of Solution
Given:
True condition: “All senators are at least 30 years old.”
Additional statement: Constance Brown is not a senator.
It can be concluded that Constance Brown can be of more than 30 years of age or less than 30 years of age.
Conclusion:
Therefore, Constance Brown can be of 30 years of age or less or more than that.
d.
To conclude the relation between the given true statement and additional statement.
d.
Answer to Problem 11WE
Ling Chen is not a senator.
Explanation of Solution
Given:
True condition: “All senators are at least 30 years old.”
Additional statement: Ling Chen is 29 years old.
It can be concluded that Ling Chen is not a senator as all senators are at least 30 years old and he is 29 years old.
Conclusion:
Therefore, Ling Chen is not a senator.
Chapter 6 Solutions
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