Solve 5x+12.5<23.1 . Write the rational number in your answer in decimal form to the hundredths place. Make sure to write your inequality so that x comes first

Answer 1

To solve the inequality \( 5x + 12.5 < 23.1 \), we can follow these steps:

1. Subtract 12.5 from both sides: \[ 5x < 23.1 - 12.5 \]

2. Calculate the right-hand side: \[ 23.1 - 12.5 = 10.6 \] So we have: \[ 5x < 10.6 \]

3. Divide both sides by 5: \[ x < \frac{10.6}{5} \]

4. Calculate the division: \[ \frac{10.6}{5} = 2.12 \] Thus, the inequality becomes: \[ x < 2.12 \]

Therefore, the final answer is: \[ x < 2.12 \]