Number Line Inequalities
Graphing the Solution Set for Inequalities
After solving an inequality, you are often asked to graph it.
Graphing inequalities a visual way of looking at all the possible answers using the number line.
When you graph an inequality, it does matter if your dot is filled in or open.
You use an open dot if
the solution uses the symbol for "less than" or "greater than."
You use a filled-in dot if
the solution uses the symbol for "greater than or equal to" or "less than or equal to."
Why?
Think about it before reading the answer below.
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Answer: The filled-in dot is representing that it can include this number, whereas the open dot is representing that this number itself should be excluded (the circle is surrounding this number but not including it).
Use the activity below to practice graphing solution sets.
How do you know when to use an open or closed circle? Select all that apply.