7
AssignmentMultiple Choice

Sets and Venn Diagrams

Question 7 • TN-Algebra II B SC 26-27 (For Credit)

Given the statement "If Jack’s pet is a pig, then Jack’s pet cannot fly,” which statement represents the converse?

Answer
A
q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly
B
~q → ~p, where p = Jack’s pet cannot fly and q = Jack’s pet is a pig
C
p → q, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly
D
q → p, where p = Jack’s pet is not a pig and q = Jack’s pet is a pig

Explanation

The original statement has the form “If p, then q,” where p means Jack’s pet is a pig and q means Jack’s pet cannot fly. The converse switches the hypothesis and conclusion, giving q → p: “If Jack’s pet cannot fly, then it is a pig.” This is choice A.

AI-written and checked against the verified answer.

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