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.