Question

The expenses of food (f) are greater than the expenses for clothing (c). Which of the following mathematical statements represents the given situation?

1) f > c
2) f < c
3) f = c
4) f ≥ c

Answer 1

The mathematical statement that correctly represents the situation where expenses of food are greater than expenses for clothing is 'f > c'.

Step-by-step explanation:

The given situation states that the expenses of food (f) are greater than the expenses for clothing (c). The correct mathematical statement to represent this situation is f > c. This inequality simply means that the value for food expenses is larger than that of clothing expenses. Consequently, the first option is the right choice.

Choices such as f < c would imply that food expenses are less than clothing expenses, and f = c would mean that the expenses for both are equal, which are not accurate according to the given information. The option f ≥ c indicates that food expenses could be either greater than or equal to clothing expenses, but our specific scenario only indicates that food is definitively more expensive, not possibly equal.