I am trying to understand how to translate math questions into an inequality. Here is an example: The cost is at most $4857.95

Essentially you look for key words.

"At most", "no more than", "does not exceed", etc. would mean less than or equal too. Taking your example, if the cost is at most $4857.95, then it could be less, but it cannot be more. When x is less than or equal too y, x can be less, than, equal to, but not more than y.

The third grade class is having a pizza party. The class expects 22 children .1 teacher,and 2 parents. Each pizza will be divided into 8 equal slices. In all,how many people are coming to the party?

First, if you have a question, it is much better to put it in as a separate post in <Post a New Question> rather than attaching it to a previous question, where it is more likely to be overlooked.

22 + 1 + 2 = ?

To translate a math question into an inequality, you need to understand the meaning of certain mathematical terms and symbols.

In the example you provided, "at most" indicates that the value is not greater than a certain limit. In this case, the limit is $4857.95. To translate this into an inequality, you can use the less than or equal to symbol (≤).

The variable representing the cost can be denoted as "C". So, the inequality for the given statement would be:

C ≤ $4857.95

This inequality states that the cost (C) should be less than or equal to $4857.95. If the cost is exactly equal to $4857.95, it satisfies the inequality. However, if the cost exceeds $4857.95, the inequality will not be satisfied.

Remember, the less than or equal to symbol (≤) is used when the value can equal or be less than the given limit.