Final answer:
To represent the relationship between the number of members in the science club and the math club, we can use the inequality 16 < (4/5)m. Solving this inequality, we find that all the possible numbers of math club members (m) are greater than 20.
Step-by-step explanation:
To represent the relationship between the number of members in the science club and the math club, we can use an inequality. Let's assume that the number of members in the math club is represented by 'm'. According to the given information, the science club has less than 4/5 the number of members as the math club. This can be written as:
16 < (4/5)m
To find all the possible numbers of math club members (m), we can solve this inequality. We will start by multiplying both sides of the inequality by 5 to get rid of the fraction:
80 < 4m
Next, we divide both sides of the inequality by 4 to solve for 'm':
m > 20
Therefore, all the possible numbers of math club members (m) are greater than 20.