Let's start by analyzing the inequality \( 56x \leq -10 \).
1. **Dividing by a Positive Number**: The first step is to isolate \( x \) by dividing both sides of the inequality by \( 56 \) (which is positive). According to the properties of inequalities, if we divide or multiply by a positive number, the direction of the inequality remains the same.
\[
x \leq \frac{-10}{56}
\]
2. **Negative Sign**: The presence of a negative sign in \( -10 \) does not affect the direction of the inequality when we are dividing by the positive number \( 56 \).
Now, let's evaluate each person's claims:
- **Juana**: Says the inequality symbol must be reversed because there is a negative sign in the inequality. **This is incorrect** because the negative sign in the number does not affect the inequality's direction when dividing by a positive number.
- **Anish**: States that the Multiplication Property of Inequality or Division Property of Inequality must be applied. **This is correct** because we need to apply these properties to solve the inequality.
- **Giselle**: Claims that the inequality symbol must stay the same. **This is also correct** because the inequality will not change its direction when divided by the positive number \( 56 \).
Based on the analysis:
- Anish and Giselle are correct.
- Juana is incorrect.
Therefore, the correct answer is **Giselle and Anish**.