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.

Question

Based on these answers, which combination of people is correct?

(1 point)
Responses

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

Giselle and Juana
Giselle and Juana

Juana and Anish
Juana and Anish

Giselle and Anish

Answer 1

To solve the inequality \( 56x \leq -10 \), we want to isolate \( x \). We can do this by dividing both sides of the inequality by 56. The important point to remember in this case is that the coefficient (56) is positive, so we do not reverse the inequality symbol when dividing by a positive number.

Now, let's break down the comments from Juana, Anish, and Giselle:

• Juana says that the inequality symbol must be reversed because there is a negative sign in the inequality. This statement is incorrect; the inequality symbol only changes when you multiply or divide both sides by a negative number, not because of the presence of a negative on one side.

• Anish correctly states that the Multiplication Property of Inequality or Division Property of Inequality must be applied. He is correct in that to solve the inequality, you will apply these properties.

• Giselle says the inequality symbol must stay the same, which is also correct because we are dividing by a positive number (56).

Thus, the correct combination of people is Anish and Giselle.

Therefore, the correct answer is:

Giselle and Anish.