9x-7i>3(3x-7u)

To solve the inequality \( 9x - 7i > 3(3x - 7u) \), we will first expand the expression on the right side and then simplify the inequality.

1. Distribute the 3 on the right side: \[ 9x - 7i > 9x - 21u \]

2. Next, subtract \( 9x \) from both sides: \[ -7i > -21u \]

3. To isolate \( i \), multiply both sides by -1, remembering to flip the inequality sign: \[ 7i < 21u \]

4. Finally, divide both sides by 7: \[ i < 3u \]

So the solution to the inequality is: \[ i < 3u \]