The statement "Trevon practices his clarinet at least 1 hour each day" implies that the time \( t \) he practices is greater than or equal to 1 hour. Therefore, the correct mathematical representation of this statement is:
\[ t \geq 1 \]
Since this option is not listed in your question, the closest interpretation would be:
- \( t > 1 \) indicates he practices more than 1 hour, which is not strictly correct since he can also practice exactly 1 hour.
- \( t \geq 1 \) would be the most accurate, but given your list, \( t \) should not be less than \( 1 \).
Thus, the correct interpretation of "at least 1 hour" is:
\( t \geq 1 \)
But since that option is not provided, you might want to stick with understanding that \( t \) cannot be less than 1, which means \( t < 1\) is incorrect.
If you have to choose from the provided options and want to indicate that he practices at least 1 hour, you should clarify that none of the given inequalities ( \( t > 1\), \( t < 1\), \( t \leq 1\) ) correctly express "at least" other than stating that he practices for a minimum of \( 1 \) hour.
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