1. **State the problem:** Solve the compound inequality $$6 > g - 14 \geq 3$$ for $g$ and graph the solution on a number line. 2. **Understand the compound inequality:** This means $g - 14$ is less than 6 and at the same time greater than or equal to 3. 3. **Write the compound inequality:** $$3 \leq g - 14 < 6$$ 4. **Isolate $g$ by adding 14 to all parts:** $$3 + 14 \leq g - 14 + 14 < 6 + 14$$ 5. **Simplify:** $$17 \leq g < 20$$ 6. **Interpret the solution:** - $g$ is greater than or equal to 17 (closed endpoint at 17). - $g$ is less than 20 (open endpoint at 20). 7. **Graph the solution:** - Draw a number line from 13 to 21. - Mark a closed circle at 17. - Mark an open circle at 20. - Shade the region between 17 and 20. **Final answer:** $$17 \leq g < 20$$