Solve 5x9<8

Question

. Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x
comes first.

Answer 1

To solve the inequality \( 5x + 9 < 8 \), we'll first isolate \( x \).

1. Subtract 9 from both sides: \[ 5x < 8 - 9 \] \[ 5x < -1 \]

2. Now, divide both sides by 5: \[ x < \frac{-1}{5} \]

The inequality shows that \( x \) is less than \(-\frac{1}{5}\).

To express the improper fraction as a mixed number:

• Since \(-\frac{1}{5}\) is already a proper fraction, it can be represented simply as it is without conversion necessary since it doesn't have a whole number part.

So, the final answer, written with \( x \) first, is: \[ x < -\frac{1}{5} \]