Question

Question
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 point)

Answer 1

To solve the inequality \( 5x < 12 \), follow these steps:

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

2. Convert \(\frac{12}{5}\) to a mixed number:
- \(12 \div 5 = 2\) (which is the whole number part)
- The remainder is \(2\) (since \(12 - 10 = 2\), where \(10\) is \(5 \times 2\)).
- Therefore, \(\frac{12}{5} = 2 \frac{2}{5}\).

3. Write the inequality with \(x\) first:
\[
x < 2 \frac{2}{5}
\]

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