Lesson 217 of 1524
2.9 Solutions to Inequalities
You know that an open circle is used to represent < and > , while a closed circle represents ≤ and ≥
Practice this chapterYou know that an open circle is used to represent < and > , while a closed circle represents ≤ and ≥ Adding context can help you intuit why the solutions to an inequality are often represented by a ray on the number line.
The activity also prompted you to think about the solutions to an inequality in terms of a related equation The context helped reinforce why it makes sense for the solutions to an inequality to be represented by a set of points on one side of a particular value on the number line
open circle — used to represent < and > , while a closed circle represents ≤ and ≥. solutions to an inequality — often represented by a ray on the number line.
Be able to graph the solution to an inequality in one variable; solve one-variable inequalities; interpret the solutions to one-variable inequalities in terms of the situation.
Worked example
What does “open circle” mean in 2.9 Solutions to Inequalities?
- 1Use the wording this chapter gives for open circle.
- 2The book says: used to represent < and > , while a closed circle represents ≤ and ≥.
- 3Do not use the meaning of solutions to an inequality. That term means often represented by a ray on the number line.
Result: used to represent < and > , while a closed circle represents ≤ and ≥
Why. That is the meaning this chapter gives for open circle.
Do not swap open circle and solutions to an inequality. open circle means used to represent < and > , while a closed circle represents ≤ and ≥. solutions to an inequality means often represented by a ray on the number line.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.