Solve 5x<12

Question

5
𝑥
<
12
. Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x
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. To do this, divide 12 by 5: \[ 12 \div 5 = 2 \quad \text{(which gives us the whole number)} \] The remainder is: \[ 12 - 10 = 2 \quad \text{(since } 5 \times 2 = 10\text{)} \] Therefore, we can express \(\frac{12}{5}\) as: \[ 2 \frac{2}{5} \]

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

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