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 Juana and Anish Juana and Anish Anish, Juana, and Giselle Anish, Juana, and Giselle Giselle and Anish Giselle and Anish Giselle and Juana Giselle and Juana

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
11 days ago

Let's analyze the inequality \( 56x \leq -10 \).

To solve for \( x \), we need to divide both sides of the inequality by 56. According to the Division Property of Inequalities, when dividing (or multiplying) both sides of an inequality by a positive number, the direction of the inequality does not change.

Now, let's break down what each person said:

- **Juana**: Claims the inequality symbol must be reversed because there is a negative sign in the inequality. This is not correct as the inequality sign only reverses when dividing or multiplying both sides by a negative number. Since 56 is positive, Juana is incorrect.

- **Anish**: States that the Multiplication Property of Inequality or Division Property of Inequality must be applied. This is correct! We will indeed apply the Division Property of Inequalities here without reversing the inequality sign.

- **Giselle**: States the inequality symbol must stay the same. This is also correct because we are dividing by a positive number, so the inequality sign does not change.

Based on their answers:

- **Juana is incorrect**.
- **Anish is correct**.
- **Giselle is correct**.

Hence, the only correct combination of people is:

**Anish and Giselle**.

So the correct response is: **Giselle and Anish**.