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.
To solve the inequality 5x < 12, we need to isolate x by dividing both sides of the inequality by 5:
5x / 5 < 12 / 5
Simplifying both sides, we get:
x < 12/5
The improper fraction 12/5 can be rewritten as a mixed number. To convert it, you divide 12 by 5, which equals 2 with a remainder of 2. So, the mixed number is 2 2/5. However, since we are writing an inequality, we keep x related to the improper fraction:
x < 2 2/5
Now, writing the inequality so that x comes first (as is usually done and as specified in your question), we have:
x < 2 2/5
There is nothing further to do in terms of expressing the answer unless we need to graph the inequality on a number line or apply it to a real-world context.