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Which inequality represents this sentence?

A number is no more than 57.

A. [tex]n \leq 57[/tex]
B. [tex]n \textless 57[/tex]
C. [tex]n \geq 57[/tex]
D. [tex]n \textgreater 57[/tex]

Answer :

To solve the question, "Which inequality represents this sentence: A number is no more than 57?", we need to understand the phrase "no more than."

1. Understanding the Phrase:
- "No more than" means that the number cannot be greater than 57. It can either be exactly 57 or any number less than 57.

2. Choosing the Correct Inequality:
- In mathematical terms, "no more than 57" is represented by the inequality where the number is less than or equal to 57.

3. Identifying the Correct Symbol:
- The symbol for "less than or equal to" is ≤.

4. Formulating the Inequality:
- If we let the number be represented by [tex]\( n \)[/tex], then the correct inequality that captures "a number is no more than 57" is [tex]\( n \leq 57 \)[/tex].

Therefore, the correct inequality is:

[tex]\( n \leq 57 \)[/tex]

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