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Consider the conditional statement “If x is a prime number, then x is an odd number.”   Is this statement true for x = 2? (Remember a prime number is divisible only by 1 and itself)Choose the answer with the most correct explanation.Group of answer choicesThe conditional statement is false because 2 is a prime number (the "if" is true) and 2 is an even number (the "then" is false).The conditional statement is assumed false because 2 is an even number (the “then” is false) regardless of the truth of the “if”.The conditional statement is neither true nor false.There is not enough information to decide if the conditional statement is true or false.The conditional statement is assumed true because 2 is a prime number (the “if” is true).

Question

Consider the conditional statement “If x is a prime number, then x is an odd number.”   Is this statement true for x = 2? (Remember a prime number is divisible only by 1 and itself)Choose the answer with the most correct explanation.Group of answer choicesThe conditional statement is false because 2 is a prime number (the "if" is true) and 2 is an even number (the "then" is false).The conditional statement is assumed false because 2 is an even number (the “then” is false) regardless of the truth of the “if”.The conditional statement is neither true nor false.There is not enough information to decide if the conditional statement is true or false.The conditional statement is assumed true because 2 is a prime number (the “if” is true).

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Solution

The conditional statement is false because 2 is a prime number (the "if" is true) and 2 is an even number (the "then" is false).

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