Solve 5x/9<8 . Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x comes first.

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

1. Multiply both sides by 9 to eliminate the fraction:

   \[ 5x < 8 \times 9 \]

   This simplifies to:

   \[ 5x < 72 \]

2. Now, divide both sides by 5:

   \[ x < \frac{72}{5} \]

3. Convert \( \frac{72}{5} \) into a mixed number. To do this, divide 72 by 5:

   • 72 divided by 5 is 14 with a remainder of 2.

   Thus, \( \frac{72}{5} = 14 \frac{2}{5} \).

Now, we can write the final answer with \( x \) first and the inequality:

\[ x < 14 \frac{2}{5} \]