Question

Anne picked out 3 board games from her cabinet to take to a game night with her friends. She still has more than 10 board games in the cabinet, so she thinks she could bring a few more.
Let x represent how many board games were in Anne's cabinet to start. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
There were more than board games in Anne's cabinet to start

Answer 1

To represent the situation, we can start by interpreting the information given:

1. Anne picked out 3 board games to take to game night.
2. She still has more than 10 board games left in her cabinet.

Let \( x \) represent the number of board games Anne had in her cabinet initially.

After taking out 3 board games, the number of board games left can be expressed as \( x - 3 \). We know that this number is more than 10, so we can write the inequality:

\[
x - 3 > 10
\]

Next, we can solve the inequality:

1. Add 3 to both sides of the inequality:
\[
x > 10 + 3
\]
\[
x > 13
\]

This means that the number of board games \( x \) that Anne had in her cabinet originally is greater than 13.

Now, we can complete the sentence as follows:
There were more than **13** board games in Anne's cabinet to start.