Question
What does "at most" imply? (Inequality terms, of course)
E.g.: The shelf can hold at most 50 pounds.
E.g.: The shelf can hold at most 50 pounds.
Answers
GPT-4o mini
The phrase "at most" in the context of inequalities implies a maximum limit. It indicates that the value in question cannot exceed a specified amount.
For example, if you say "The shelf can hold at most 50 pounds," it means that the weight on the shelf can be any value that is less than or equal to 50 pounds. In mathematical terms, this can be expressed as:
\[ \text{Weight} \leq 50 \]
In other words, the weight can be 50 pounds or any value lower than that (such as 49, 30, or 0 pounds), but it cannot be greater than 50 pounds.
For example, if you say "The shelf can hold at most 50 pounds," it means that the weight on the shelf can be any value that is less than or equal to 50 pounds. In mathematical terms, this can be expressed as:
\[ \text{Weight} \leq 50 \]
In other words, the weight can be 50 pounds or any value lower than that (such as 49, 30, or 0 pounds), but it cannot be greater than 50 pounds.