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.

Question

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(1 point)

Answer 1

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

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

2. Divide both sides by 5: \[ x < \frac{72}{5} \]

3. Convert the improper fraction \( \frac{72}{5} \) to a mixed number.

   • Divide 72 by 5:
     • \( 72 \div 5 = 14 \) with a remainder of 2.
   • This gives us: \[ \frac{72}{5} = 14 \frac{2}{5} \]

Therefore, the solution to the inequality, written in the requested format, is: \[ x < 14 \frac{2}{5} \]