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

Answer 1

To solve the inequality \( \frac{5z}{9} < 8 \), we will first isolate \( z \).

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

   \[ 5z < 72 \]

2. Now, divide both sides by 5:

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

3. Next, we convert the improper fraction \( \frac{72}{5} \) into a mixed number. Dividing \( 72 \) by \( 5 \):

   \[ 72 \div 5 = 14 \quad \text{remainder} \quad 2 \]

   This gives us:

   \[ \frac{72}{5} = 14 \frac{2}{5} \]

4. So the solution to the inequality is:

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

In the required format of the result, the final answer is:

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