Juana, Anish, and Giselle are comparing their solutions to the inequality \frac{5}{6}x\le -10. Juana says that the inequality symbol must be reversed because there is a negative sign in the inequality. Anish says the Multiplication Property of Inequality or Division Property of Inequality must be applied. Gisele says the inequality symbol must stay the same.

To solve the inequality \(\frac{5}{6}x \le -10\) and understand the correct statements made by Juana, Anish, and Giselle, let’s analyze the situation step-by-step.

1. **Juana's Statement**: Juana says that the inequality symbol must be reversed because there is a negative sign in the inequality. This statement is incorrect as the inequality symbol is only reversed when you multiply or divide both sides of the inequality by a negative number.

2. **Anish's Statement**: Anish mentions the Multiplication Property of Inequality or Division Property of Inequality must be applied. This statement is partially correct. We need to divide both sides of the inequality by \(\frac{5}{6}\) to isolate \(x\). However, since \(\frac{5}{6}\) is positive, the direction of the inequality will remain the same. If we were dividing by a negative number, then the inequality would reverse.

3. **Giselle's Statement**: Giselle says the inequality symbol must stay the same. This statement is correct when we apply the division of both sides by \(\frac{5}{6}\), a positive number.

Now, let’s summarize:
- **Juana**: Incorrect, because the inequality does not reverse merely due to a negative number being present in the result.
- **Anish**: Incorrect in context, because while he mentions the application of properties, he doesn't clarify that since we are dividing by a positive number, the inequality does not change.
- **Giselle**: Correct, because she states that the symbol should remain the same.

Therefore, the combination of people who are correct is **Giselle only**. However, since that does not match any options provided, the most accurate answer would be **D. Giselle and Anish**, since Giselle is correct and Anish's notion about properties aligns in the mathematical approach, but needs clarification regarding directionality concerning positive and negative division.

So, the best available option is:
**D. Giselle and Anish**.