Question

Juana, Anish, and Giselle are comparing their solutions to the inequality 5/6x < -10.

Answer 1

To solve the inequality \( \frac{5}{6}x < -10 \), we need to isolate \( x \). Here's how we can do that step by step:

1. **Multiply both sides by 6** to eliminate the fraction:
\[
6 \cdot \frac{5}{6}x < 6 \cdot -10
\]
This simplifies to:
\[
5x < -60
\]

2. **Now divide both sides by 5** to isolate \( x \):
\[
\frac{5x}{5} < \frac{-60}{5}
\]
This simplifies to:
\[
x < -12
\]

So the solution to the inequality \( \frac{5}{6}x < -10 \) is:
\[
x < -12
\]

Now, Juana, Anish, and Giselle can compare their solutions to check if they all arrived at the same result. Each of them should have \( x < -12 \) as their solution to the inequality.