Solve for u 9x-7i>9x-21u

$9 x - 7 i > 9 x - 21 u$

Rewrite so $u$ is on the left side of the inequality.

$9 x - 21 u < 9 x - 7 i$

Move all terms not containing $u$ to the right side of the inequality.

Subtract $9 x$ from both sides of the inequality.

$- 21 u < 9 x - 7 i - 9 x$

Combine the opposite terms in $9 x - 7 i - 9 x$ .

Subtract $9 x$ from $9 x$ .

$- 21 u < 0 - 7 i$

Subtract $7 i$ from $0$ .

$- 21 u < - 7 i$

Divide each term in $- 21 u < - 7 i$ by $- 21$ and simplify.

Divide each term in $- 21 u < - 7 i$ by $- 21$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 21 u}{- 21} > \frac{- 7 i}{- 21}$

Simplify the left side.

Cancel the common factor of $- 21$ .

Cancel the common factor.

$\frac{- 21 u}{- 21} > \frac{- 7 i}{- 21}$

Divide $u$ by $1$ .

$u > \frac{- 7 i}{- 21}$

Simplify the right side.

Cancel the common factor of $- 7$ and $- 21$ .

Factor $- 7$ out of $- 7 i$ .

$u > \frac{- 7 (i)}{- 21}$

Cancel the common factors.

Factor $- 7$ out of $- 21$ .

$u > \frac{- 7 (i)}{- 7 (3)}$

Cancel the common factor.

$u > \frac{- 7 i}{- 7 \cdot 3}$

Rewrite the expression.

$u > \frac{i}{3}$

Solve for u 9x-7i>9x-21u

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