Remember:
If you multiply or divide both sides of an inequality by a negative number,
then you must change the direction of the inequality symbol.
[beautiful math coming... please be patient] $\displaystyle \frac{2}{3}x + 6\le 1$  (original sentence) 
[beautiful math coming... please be patient] $2x + 18\le 3$  (clear fractions; multiply both sides by $\,3\,$) 
[beautiful math coming... please be patient] $2x \le 15$  (subtract $\,18\,$ from both sides) 
[beautiful math coming... please be patient] $\displaystyle x \ge \frac{15}{2}$  (divide both sides by $\,2\,$; 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 $ \frac{2}{3}x + 6\le 1$
is optionally accompanied by the
graph of $\,y = \frac{2}{3}x + 6\,$ (the left side of the inequality, dashed green)
and the graph of
$\,y = 1\,$ (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:
