College

Which inequality represents this sentence?

A number is no more than 57.

A. [tex] n > 57 [/tex]
B. [tex] n \leq 57 [/tex]
C. [tex] n \geq 57 [/tex]
D. [tex] n < 57 [/tex]

Answer :

To solve the problem of determining which inequality represents the sentence "A number is no more than 57," let's break down the meaning of the sentence:

1. Understanding the Phrase "No More Than":
- The phrase "no more than" indicates a maximum limit. This means that the number cannot exceed this limit.
- In terms of comparison, if a number is no more than 57, it means the number could be less than or equal to 57.

2. Writing the Inequality:
- To express that a number is less than or equal to 57, we use the inequality symbol "≤".
- So, the correct inequality that represents "A number is no more than 57" is [tex]\( n \leq 57 \)[/tex].

Therefore, the sentence "A number is no more than 57" is represented by the inequality [tex]\( n \leq 57 \)[/tex].