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Lesson 219 of 1524

2.11 Graphing Linear Inequalities in Two Variables

The boundary between the two regions is the graph of an equation that is related to the inequality

Practice this chapter

The boundary between the two regions is the graph of an equation that is related to the inequality You also recalled that a linear equation in two variables has many solutions, which are represented by all the points on the graph of the equation

Decide if the values in each ordered pair, ( x , y ) , make the value of the expression less than, greater than, or equal to 12

boundary between the two regions — the graph of an equation that is related to the inequality.

Be able to determine which side of the line the solutions to the inequality will fall, given a two-variable inequality and the graph of the related equation; describe the graph that represents the solutions to a linear inequality in two variables; use the graphing tool or technology outside the course to graph each inequality. (The Desmos tool is provided).

Worked example

What does “boundary between the two regions” mean in 2.11 Graphing Linear Inequalities in Two Variables?

  1. 1Use the wording this chapter gives for boundary between the two regions.
  2. 2The book says: the graph of an equation that is related to the inequality.
  3. 3Keep the answer tied to this term.

Result: the graph of an equation that is related to the inequality

Why. That is the meaning this chapter gives for boundary between the two regions.

Answer with the meaning this chapter gives. A nearby idea from the same book is a different term.

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.