Question

Solve 5x/9 <8 Write the improper fraction in your answer as a mixed number.Make sure to write your inequality so that X comes first.You will have to find the option to ayad and the symbol in the comparison

Answer 1

To solve the inequality \( \frac{5x}{9} < 8 \), we'll start by isolating \( x \).

1. Multiply both sides by 9 to eliminate the fraction:
\[
5x < 72
\]
(Note: We can multiply by a positive number without changing the inequality direction.)

2. Next, divide both sides by 5:
\[
x < \frac{72}{5}
\]

Now we can convert \( \frac{72}{5} \) into a mixed number:

- \( 72 \div 5 = 14 \) with a remainder of \( 2 \).
- Therefore, \( \frac{72}{5} = 14 \frac{2}{5} \).

Putting it all together, the inequality becomes:
\[
x < 14 \frac{2}{5}
\]

To write it as you requested, with \( x \) first and specifying the symbol in the comparison, we write:
\[
x < 14 \frac{2}{5}
\]