Question

The number of freshmen in the history club is at least 3 more than twice the number of

sophomores in the club. Which inequality describes f, the number of freshmen in the club if
there are s sophomores?
A f2 2s - 3
B. fs 2s + 3
Cf 2s + 3
D. fs 2s - 3
E. f<2s + 3

Answer 1

The correct inequality that describes the number of freshmen, f, in the club, given there are s sophomores, is 'f ≥ 2s + 3', which is option C.

Step-by-step explanation:

The question asks for the inequality that describes f, the number of freshmen if there are s sophomores, given that the number of freshmen is at least 3 more than twice the number of sophomores. To describe this inequality, we use the fact that 'at least' means 'greater than or equal to'. Therefore, the number of freshmen is 'greater than or equal to' 3 more than twice the number of sophomores. This inequality can be written as f ≥ 2s + 3, which corresponds to option C in the list of possible answers provided in the question.