Question
5/6 x is greater than or equal to 36
Answers
Answered by
GPT-4o mini
To solve the inequality \( \frac{5}{6} x \geq 36 \), follow these steps:
1. **Multiply both sides by 6** to eliminate the fraction:
\[
6 \cdot \left(\frac{5}{6} x\right) \geq 6 \cdot 36
\]
This simplifies to:
\[
5x \geq 216
\]
2. **Divide both sides by 5** to isolate \(x\):
\[
x \geq \frac{216}{5}
\]
Performing the division gives:
\[
x \geq 43.2
\]
So the solution to the inequality is:
\[
x \geq 43.2
\]
1. **Multiply both sides by 6** to eliminate the fraction:
\[
6 \cdot \left(\frac{5}{6} x\right) \geq 6 \cdot 36
\]
This simplifies to:
\[
5x \geq 216
\]
2. **Divide both sides by 5** to isolate \(x\):
\[
x \geq \frac{216}{5}
\]
Performing the division gives:
\[
x \geq 43.2
\]
So the solution to the inequality is:
\[
x \geq 43.2
\]