Solve 5x<12

Question

. Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x
comes first.(1 point)

Answer 1

To solve the inequality \( 5x < 12 \), we need to isolate \( x \).

1. Divide both sides of the inequality by 5: \[ x < \frac{12}{5} \]

2. Now convert \( \frac{12}{5} \) into a mixed number:

   • Divide 12 by 5, which gives 2 with a remainder of 2.
   • Therefore, \( \frac{12}{5} = 2 \frac{2}{5} \).

Thus, the solution to the inequality can be written as: \[ x < 2 \frac{2}{5} \]

So the final answer is: \[ x < 2 \frac{2}{5} \]