Juana, Anish, and Giselle are comparing their solutions to the inequality 5/6x≤−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. Giselle says the inequality symbol must stay the same. Based on these answers, which combination of people is correct? (1 point) Responses Anish, Juana, and Giselle Anish, Juana, and Giselle Juana and Anish Juana and Anish Giselle and Anish Giselle and Anish Giselle and Juana

To solve the inequality \( \frac{5}{6}x \leq -10 \), we can use the Division Property of Inequality, which states that if you divide or multiply both sides of an inequality by a positive number, the inequality symbol stays the same. However, if you multiply or divide by a negative number, the inequality symbol must be reversed.

In this case, since we are going to divide both sides by \( \frac{5}{6} \), a positive number, the inequality symbol will stay the same. Hence, Giselle is correct.

Juana is incorrect because she wrongly states that the inequality symbol must be reversed just because there is a negative on the right side of the inequality. There is no negative on the left side or associated with the multiplication/division here that would necessitate reversing the inequality symbol.

Anish correctly points out that the Division Property of Inequality (or Multiplication Property) must be applied, but his statement doesn't clarify the nature of the number being divided or multiplied (which is crucial here). However, since he is not opposing the direction of the inequality, we can consider him correct.

Therefore, the correct combination of people would be **Giselle and Anish**.