The number of girls in a classroom is greater than the number of boys. There are more than 2 girls.

Question

Write a system of inequalities to model this situation. Use x to represent the number of boys and y to represent the number of girls.
Which inequality represents the number of boys and girls?
choose your answer... ^
choose your answer...
y <2
y >2

Answer 1

To model the situation described, let's define the variables:

• Let \( x \) be the number of boys.
• Let \( y \) be the number of girls.

From the information given:

1. The number of girls is greater than the number of boys: \[ y > x \]

2. There are more than 2 girls: \[ y > 2 \]

So, the system of inequalities that models this situation is:

\[ \begin{cases} y > x \ y > 2 \end{cases} \]

The inequalities representing the number of boys and girls would be \( y > x \) for comparing boys and girls, and \( y > 2 \) for the condition on the number of girls.

If you are specifically asked to choose which inequality represents the number of girls, it is \( y > 2 \).

Answer 2

But which represents both girls and boys

Answer 3

The inequality that represents the relationship between the number of boys and girls is:

\[ y > x \]

This means that the number of girls (\(y\)) is greater than the number of boys (\(x\)).

So, in summary:

• \( y > x \) represents the relationship between girls and boys.
• \( y > 2 \) represents the condition that there are more than 2 girls.

Therefore, if you are looking for the inequality that represents both girls and boys, it is \( y > x \).