Question

Juana, Anish, and Giselle are comparing their solutions to the inequality 56x≤−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

Giselle and Anish
Giselle and Anish

Juana and Anish
Juana and Anish

Giselle and Juana

Answer 1

To solve the inequality \( 56x \leq -10 \), we need to isolate \( x \). We can do this by dividing both sides of the inequality by 56. Since 56 is positive, the inequality symbol will remain the same.

1. Juana is incorrect because there is no need to reverse the inequality symbol simply because there is a negative sign on the right side of the inequality.
2. Anish is correct because the Division Property of Inequality can be applied here, and since we are dividing by a positive number, the inequality symbol does not change.
3. Giselle is correct because the inequality symbol remains the same when dividing both sides by a positive number.

Based on these evaluations, the correct combination of people who are correct is:

**Anish and Giselle**.

However, this option doesn't appear in your responses. The closest valid response based on their statements is:

**Giselle and Anish**.