Question

solve 5x/9 greater than or equal to 8 write the improper fraction into mixed

Answer 1

To solve the inequality \( \frac{5x}{9} \geq 8 \), follow these steps:

1. **Multiply both sides by 9** to eliminate the fraction:
\[
5x \geq 72
\]

2. **Divide both sides by 5** to isolate \( x \):
\[
x \geq \frac{72}{5}
\]

3. **Convert \( \frac{72}{5} \) into a mixed number**:
- Divide 72 by 5:
\[
72 \div 5 = 14 \quad \text{remainder: } 2
\]
- This means \( \frac{72}{5} = 14 \frac{2}{5} \).

So, the final answer is:
\[
x \geq 14 \frac{2}{5}
\]