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Answer :
The correct inequality that represents the sentence "A number is no more than 57" is n ≤ 57.
Let's break it down step-by-step:
The phrase "no more than" indicates that the number should not exceed 57. In other words, it means that the number should be less than or equal to 57.
To represent this mathematically, we use the symbol "≤" which means "less than or equal to." So, the inequality n ≤ 57 represents that a number (n) is less than or equal to 57.
In this case, the "≤" symbol includes the possibility that the number can be exactly 57 as well.
Other inequalities in the given options are:
- n < 57: This means that the number should be strictly less than 57, so it does not include the possibility of being equal to 57.
- n > 57: This means that the number should be strictly greater than 57, so it does not include the possibility of being equal to 57.
- n ≥ 57: This means that the number should be greater than or equal to 57. While it includes the possibility of being equal to 57, it does not represent the phrase "no more than."
Therefore, the correct inequality that represents the sentence "A number is no more than 57" is n ≤ 57.
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