Solve the inequality and write your answer as an inequality with reduced fractions. \( 11 x+28>27+2 x \)

To solve the inequality \( 11x + 28 > 27 + 2x \), follow these steps: 1. **Subtract \(2x\) from both sides** to get all \(x\)-terms on one side: \[ 11x + 28 - 2x > 27 \] Simplifying: \[ 9x + 28 > 27 \] 2. **Subtract 28 from both sides** to isolate the \(x\)-term: \[ 9x > 27 - 28 \] Simplifying: \[ 9x > -1 \] 3. **Divide both sides by 9** to solve for \(x\): \[ x > \frac{-1}{9} \] The fraction \(\frac{-1}{9}\) is already in its reduced form. **Final Answer:** \[ x > -\frac{1}{9} \]