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If fish can swim, then 5 + 3 = 15. Which of the following illustrates the truth value of the given conditional statement?

A. True
B. False

1 Answer

4 votes

Final answer:

The statement 'If fish can swim, then 5 + 3 = 15' is a conditional statement and is false because while the antecedent is true, the consequent is false.

Step-by-step explanation:

The student's question concerns a type of logical conditional statement, which is part of mathematical reasoning and logic. The conditional statement here is "If fish can swim, then 5 + 3 = 15." Since fish can indeed swim, the antecedent (the 'if' part) is true. However, the consequent (the 'then' part, 5 + 3 = 15) is false because 5 + 3 actually equals 8, not 15.

When evaluating the truth value of a conditional statement, if the antecedent is true and the consequent is false, the entire statement is false. Therefore, the correct answer to the student's question is B. False.

User Havaligi Sathish
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