The graph shows the solution set for the inequality $3x + 1 > 2x - 5 > x - 7$. The shaded region to the right of $-2$ represents the solution, which in interval notation is: $(-2, \infty)$

Would you like any further details on this solution or the steps involved? Here are some related questions for further exploration:

1. How would the solution change if one of the inequalities were non-strict, such as $\geq$?
2. How do we graph solutions on a number line for inequalities involving $\leq$ or $\geq$?
3. What are compound inequalities, and how do we identify them?
4. How can we solve inequalities involving absolute values?
5. What are the steps for solving compound inequalities with three or more parts?

Tip: When solving compound inequalities, treat each part of the inequality separately, then find the intersection of all solution sets for the final answer.