Asked by Samantha Burnett on Jul 29, 2024
Verified
What is the contrapositive of the proposition "Some talented candidates are not acceptable people"?
A) No unacceptable person is an untalented candidate.
B) All unacceptable people are talented candidates.
C) Some unacceptable people are talented candidates.
D) Some talented candidates are unacceptable people.
E) Some unacceptable people are not untalented candidates.
Contrapositive
In logic, a statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.
Proposition
A remark that intends to express a judgment or perspective.
Talented Candidates
Individuals who possess exceptional skills or abilities in a particular area.
- Understand the concept and structure of contrapositives in logical propositions.
- Formulate contrapositives of given propositions accurately.
Verified Answer
EA
Eddie AvilaAug 03, 2024
Final Answer :
E
Explanation :
The contrapositive of a statement involves negating and swapping the subjects and predicates. The original statement "Some talented candidates are not acceptable people" when negated and swapped becomes "Some unacceptable people are not untalented candidates," which matches choice E.
Learning Objectives
- Understand the concept and structure of contrapositives in logical propositions.
- Formulate contrapositives of given propositions accurately.
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