To determine the correct inequality that represents the situation, we need to understand that each text message costs $15, and you can spend no more than $10.
Let \( m \) be the number of text messages you can send. The total cost for \( m \) text messages would be \( 15m \). Since you cannot spend more than $10, we can write the inequality as:
\[ 15m \leq 10. \]
Now let's look at the given options:
- \( 0.15m \geq 10 \)
- \( 15m \leq 10 \) (this is the correct choice)
- \( 0.15 \leq 10m \)
- \( 0.15 \geq 10m \)
The correct inequality that represents the amount of text messages \( m \) you can send is:
\( 15m \leq 10 \).