Write the inequality for the statement:

the difference between a number and three fifths is a minimum of negative four sevenths

f minus 3 over 5 is greater than or equal to 4 over 7
f minus 3 over 5 is greater than or equal to negative 4 over 7
f plus 3 over 5 is greater than negative 4 over 7
f minus 3 over 5 is less than or equal to negative 4 over 7

f minus 3 over 5 is greater than or equal to negative 4 over 7

The correct inequality for the statement is:

f minus 3 over 5 is greater than or equal to negative 4 over 7

To write the inequality for the statement "the difference between a number and three fifths is a minimum of negative four sevenths," we need to translate the given information into mathematical symbols and operations.

Let's break it down step by step:

1. "A number": We'll represent the number with the variable "f."

2. "The difference between a number and three fifths": The difference between a number, "f," and three fifths is written as "f - 3/5" (subtracting three fifths from "f").

3. "A minimum of negative four sevenths": This means the difference should be at least as large as negative four sevenths. In other words, it should be greater than or equal to the minimum value.

Putting it all together, the inequality representing the statement is:

f - 3/5 ≥ -4/7