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

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

To solve the inequality \( 56x \leq -10 \), we can divide both sides by 56 to isolate \( x \):

\[
x \leq \frac{-10}{56}
\]

Dividing both sides by a positive number (56) does not change the direction of the inequality. Therefore, the inequality symbol should stay the same.

Now evaluating each person's statements:

- **Juana:** She mistakenly thinks the inequality symbol must be reversed because there is a negative sign in the inequality. This is incorrect.

- **Anish:** He correctly identifies that the Multiplication or Division Property of Inequalities must be applied but does not specifically state whether the inequality should change or stay the same.

- **Giselle:** She correctly states that the inequality symbol must stay the same.

Based on this analysis:

- Anish is correct in his understanding of the property to be applied.
- Giselle is also correct in saying the inequality symbol must stay the same.
- Juana is incorrect.

Thus, the combination of correct individuals is **Anish and Giselle**.

The correct response from the provided options is **Giselle and Anish**.