Solve 5x<12 . 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 \( 5x < 12 \), we first divide both sides by 5:

\[ x < \frac{12}{5} \]

Next, we convert the improper fraction \(\frac{12}{5}\) to a mixed number.

To do this, we divide 12 by 5:

• 5 goes into 12 two times (since \(5 \times 2 = 10\)).
• The remainder is \(12 - 10 = 2\).

Thus, we can express \(\frac{12}{5}\) as:

\[ 2 \frac{2}{5} \]

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

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