Answer :
Sure! Let's break down the sentence "A number is no more than 57" to find the correct inequality.
1. Understanding "no more than":
- When we say a number is "no more than" a certain value, it means the number can be equal to that value or it can be less. For example, if you have a maximum weight limit of 57 kg, you can weigh 57 kg or anything less than that.
2. Setting up the inequality:
- Let's use [tex]\( n \)[/tex] to represent the number. We want to express that [tex]\( n \)[/tex] can be 57 or any value less than 57.
3. Choosing the correct inequality symbol:
- The symbol [tex]\( \leq \)[/tex] (less than or equal to) describes a situation where a number can be either less than or equal to another number. This perfectly matches the phrase "no more than."
4. Writing the inequality:
- Therefore, the inequality that represents "A number is no more than 57" is:
[tex]\[
n \leq 57
\][/tex]
This logically follows from the understanding of the phrase "no more than," resulting in the inequality [tex]\( n \leq 57 \)[/tex].
1. Understanding "no more than":
- When we say a number is "no more than" a certain value, it means the number can be equal to that value or it can be less. For example, if you have a maximum weight limit of 57 kg, you can weigh 57 kg or anything less than that.
2. Setting up the inequality:
- Let's use [tex]\( n \)[/tex] to represent the number. We want to express that [tex]\( n \)[/tex] can be 57 or any value less than 57.
3. Choosing the correct inequality symbol:
- The symbol [tex]\( \leq \)[/tex] (less than or equal to) describes a situation where a number can be either less than or equal to another number. This perfectly matches the phrase "no more than."
4. Writing the inequality:
- Therefore, the inequality that represents "A number is no more than 57" is:
[tex]\[
n \leq 57
\][/tex]
This logically follows from the understanding of the phrase "no more than," resulting in the inequality [tex]\( n \leq 57 \)[/tex].
