Answer :
To solve the problem of determining which inequality represents the sentence "A number is no more than 57," let's break it down step-by-step:
1. Understanding the Phrase:
- The phrase "no more than 57" suggests that the number can be 57 or any value less than 57. It indicates an upper limit for the number.
2. Choosing the Correct Inequality Symbol:
- The phrase "no more than" is typically represented by the "less than or equal to" (≤) symbol in inequalities. This is because it includes both being equal to the number and being less than the number.
3. Matching the Description to an Inequality:
- The appropriate inequality should allow the number to be equal to 57 or less than 57.
Looking at the given inequalities, the one that matches our interpretation is:
- [tex]\( n \leq 57 \)[/tex]
Therefore, the inequality that represents the sentence "A number is no more than 57" is [tex]\( n \leq 57 \)[/tex].
1. Understanding the Phrase:
- The phrase "no more than 57" suggests that the number can be 57 or any value less than 57. It indicates an upper limit for the number.
2. Choosing the Correct Inequality Symbol:
- The phrase "no more than" is typically represented by the "less than or equal to" (≤) symbol in inequalities. This is because it includes both being equal to the number and being less than the number.
3. Matching the Description to an Inequality:
- The appropriate inequality should allow the number to be equal to 57 or less than 57.
Looking at the given inequalities, the one that matches our interpretation is:
- [tex]\( n \leq 57 \)[/tex]
Therefore, the inequality that represents the sentence "A number is no more than 57" is [tex]\( n \leq 57 \)[/tex].
