To solve the inequality \( 56x \leq -10 \), let's first isolate \( x \) by dividing both sides by the coefficient of \( x \), which is 56.
When we divide both sides of the inequality by a positive number, the direction of the inequality does not change. Thus, we can divide both sides by 56 without reversing the inequality:
\[
x \leq \frac{-10}{56}
\]
Since none of the participants' statements are correct about the necessity of reversing the inequality based on the presence of a negative sign (which relates to whether a negative number is multiplied or divided), let's summarize their positions:
- Juana incorrectly thinks the inequality must be reversed merely because there is a negative sign.
- Anish is correct in stating that the Division Property of Inequality applies, but he doesn't specify that the divisor is positive.
- Giselle is correct that the inequality symbol must stay the same because we are dividing by a positive number.
Thus, the only correct combination of people is **Giselle and Anish** since Anish is acknowledging the need for the Division Property, while Giselle is correct about the direction of the inequality not changing.
So the correct answer is:
**Giselle and Anish**.