Question

Solve 5x/9<8
. Write your answer as a mixed number. (1 point)
x<

Answer 1

To solve the inequality \( \frac{5x}{9} < 8 \), follow these steps:

1. Multiply both sides by 9 to eliminate the fraction:

\[
5x < 72
\]

2. Next, divide both sides by 5:

\[
x < \frac{72}{5}
\]

3. Now convert \( \frac{72}{5} \) into a mixed number. First, divide 72 by 5:

\[
72 ÷ 5 = 14 \quad \text{(since } 5 \times 14 = 70\text{)}
\]

The remainder is:

\[
72 - 70 = 2
\]

So,

\[
\frac{72}{5} = 14 \frac{2}{5}
\]

Thus, the solution to the inequality is:

\[
x < 14 \frac{2}{5}
\]

So the final answer is:

\[
x < 14 \frac{2}{5}
\]