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

1 answer

To solve the inequality \(5x < 12\), we will isolate \(x\) by dividing both sides of the inequality by 5:

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

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

  1. Divide 12 by 5, which gives us 2 with a remainder of 2.
  2. This can be expressed as:

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

Thus, the solution to the inequality in the requested form is:

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