[beautiful math coming... please be patient] $3  2x \le 5x + 1$  (original sentence) 
[beautiful math coming... please be patient] $3  7x \le 1$  (subtract $\,5x\,$ from both sides) 
[beautiful math coming... please be patient] $7x \le 2$  (subtract $\,3\,$ from both sides) 
[beautiful math coming... please be patient] $x \ge \frac{2}{7}$  (divide both sides by $\,7\,$; change the direction of the inequality symbol) 
Solve the given inequality.
Write the result in the most conventional way.
For more advanced students, a graph is displayed.
For example, the inequality $3  2x \le 5x + 1$
is optionally accompanied by the
graph of $\,y = 3  2x\,$ (the left side of the inequality, dashed green)
and the graph of
$\,y = 5x + 1\,$ (the right side of the inequality, solid purple).
In this example, you are finding the values of $\,x\,$ where the green
graph lies on or below the purple graph.
Click the “show/hide graph” button if you prefer not to see the graph.
CONCEPT QUESTIONS EXERCISE:
On this exercise, you will not key in your answer.However, you can check to see if your answer is correct. 
PROBLEM TYPES:
