Consider the following statement - HSC - SSCE Mathematics Extension 2 - Question 2 - 2023 - Paper 1
Question 2
Consider the following statement.
'If an animal is a herbivore, then it does not eat meat.'
Which of the following is the converse of this statement?
A. If an ani... show full transcript
Worked Solution & Example Answer:Consider the following statement - HSC - SSCE Mathematics Extension 2 - Question 2 - 2023 - Paper 1
Step 1
Identify the given statement
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Answer
The original statement is: 'If an animal is a herbivore, then it does not eat meat.' This can be expressed in logical form as: If P, then Q, where P is 'an animal is a herbivore' and Q is 'it does not eat meat.'
Step 2
Define the converse
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Answer
The converse of a statement 'If P, then Q' is 'If Q, then P.' Therefore, the converse of the given statement would be: 'If an animal does not eat meat, then it is a herbivore.'
Step 3
Choose the correct option
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Answer
From the provided options, the correct answer is D: 'If an animal does not eat meat, then it is a herbivore.' This matches the converse identified.
