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Form the biconditional statement p hArr ...

Form the biconditional statement `p hArr` q`, given,
p: The unit digits of an interger is zero.
q: It is divisible by 5.

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To form the biconditional statement \( p \iff q \), we need to analyze the given propositions: - \( p \): The unit digit of an integer is zero. - \( q \): It is divisible by 5. ### Step-by-Step Solution: 1. **Understanding Biconditional Statements**: A biconditional statement \( p \iff q \) means that both \( p \) and \( q \) are true at the same time or both are false at the same time. It can be read as "p if and only if q". 2. **Expressing the Statements**: - We start by expressing the two propositions clearly: - \( p \): "The unit digit of an integer is 0." - \( q \): "The integer is divisible by 5." 3. **Forming the Biconditional Statement**: - To form the biconditional statement, we combine both propositions: - The biconditional statement can be written as: \[ p \iff q \] - This translates to: "The unit digit of an integer is 0 if and only if it is divisible by 5." 4. **Final Statement**: - Therefore, the final biconditional statement is: \[ \text{The unit digit of an integer is 0 if and only if it is divisible by 5.} \]
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