1. **State the problem:** Solve the inequality $x > 7 - 4$ and represent the solution on a number line. 2. **Simplify the inequality:** $$x > 7 - 4$$ $$x > 3$$ 3. **Interpret the solution:** The inequality means $x$ is any real number greater than 3. 4. **Number line representation:** Draw a number line with integers marked. Place an open circle at 3 (since $x$ cannot equal 3) and shade the line to the right of 3 to indicate all values greater than 3. 5. **Summary:** The solution set is $\{x \in \mathbb{R} : x > 3\}$. **Final answer:** $x > 3$