Solving Compound Linear Inequalities
Example
Solve:
Then, graph the solution on a
number line.
Solution |
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To clear the fractions, multiply
each part by the LCD, 6.
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Simplify.
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3y < |
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≤ 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.
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