Solve the inequality for \( u \). \[ 5-4 u>13-2 u \] Simplify your answer as much as possible.

To solve the inequality \( 5 - 4u > 13 - 2u \), we first want to isolate the variable \( u \) on one side. 1. Start by adding \( 4u \) to both sides: \[ 5 > 13 - 2u + 4u \] This simplifies to: \[ 5 > 13 + 2u \] 2. Next, subtract \( 13 \) from both sides: \[ 5 - 13 > 2u \] This simplifies to: \[ -8 > 2u \] 3. Now, divide both sides by \( 2 \): \[ -4 > u \] or equivalently, \[ u < -4 \] Thus, the solution to the inequality is \( u < -4 \).