Solving Compound Linear Inequalities
Example
Solve:
Then, graph the solution on a
number line.
Solution 



To clear the fractions, multiply
each part by the LCD, 6.




Simplify.

3y < 

≤ 12 + 3y 
Distribute.
Add 2 to each part.
Subtract 3y from each part. 
3y <
3y + 2 <
2 < 
4y  2
4y
y 
≤ 12 + 3y ≤
14 + 3y
≤ 14 
To graph the solution, place an open circle at 2 and a closed circle at 14.
Then, shade the region between the plotted points.
