1. **State the problem:** Solve the inequality $9x - 7i > 3(3x - 7u)$ for $x$. 2. **Expand the right side:** $$9x - 7i > 9x - 21u$$ 3. **Subtract $9x$ from both sides:** $$9x - 7i - 9x > 9x - 21u - 9x$$ $$-7i > -21u$$ 4. **Interpret the inequality:** Since $x$ terms cancel out, the inequality depends only on $i$ and $u$. 5. **Divide both sides by $-7$ (note: dividing by a negative number reverses the inequality):** $$i < 3u$$ **Final answer:** The inequality holds if and only if $i < 3u$. This means the inequality does not restrict $x$ but relates $i$ and $u$.