To solve the inequality \( 56x \leq -10 \), we need to isolate \( x \).
- Dividing by a positive number: The first step would be to divide both sides of the inequality by 56, which is positive. According to the rules of inequalities, when dividing by a positive number, the direction of the inequality remains the same.
So, we divide as follows:
\[ x \leq \frac{-10}{56} \]
- Result simplification: This simplifies to:
\[ x \leq -\frac{5}{28} \]
Now, let's review what the three individuals said:
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Juana: She believes that the inequality symbol must be reversed because there is a negative sign. This is incorrect as we only reverse the inequality when we divide or multiply by a negative number. Since we divided by 56, which is positive, the symbol does not change.
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Anish: He talks about the Multiplication Property of Inequality or Division Property of Inequality. This is relevant since we did divide the inequality, and he is correct in that respect.
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Giselle: She states that the inequality symbol must stay the same, which is also correct, as we saw above; the symbol does not change when dividing by a positive number.
Based on this analysis:
- Correct individuals: Anish and Giselle.
So the correct combination of people is Giselle and Anish.
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