SWBAT: Graph linear inequalities in 2 variables
Lesson 8A-1
​
Do Now:
​
​
​
​
​
​
​
​
​
​
1
SWBAT: Graph linear inequalities in 2 variables
Lesson 8A-1
Vocabulary
A solution of linear inequality is any ordered pair that makes the inequality true.
A half plane is the graph of a solution set in the C artesian coordinate plane of an
inequality in two real number variables that is linear and strict.
​
1)​ ​ Identifying Solutions of Inequalities from a graph.​ ​
a)
y ​ 2​ x​ ​ 3​
b)
y ​ ​ x​ ​ 6​

Is (2, 1) a solution to the inequality?

Is (2, 1) a solution to the inequality?

Is (0, 3) a solution to the inequality?

Is (0, -6) a solution to the inequality?

Is (-4, 5) a solution to the inequality?

Is (-4, -5) a solution to the inequality?

How many solutions are there for this
inequality?

How many solutions are there for this
inequality?
​
2)​ ​ Identifying Solutions of Inequalities from an inequality ​ ​
​
Tell whether the ordered pair is a ​s olution​ of the inequality.
a) (7, 3)
y < x – 1 b) (4, 5) y > 3x +
c) (3, 4)
2
y > x +2
d) (4, 2) y ≤ 2x – 3
2
SWBAT: Graph linear inequalities in 2 variables
Lesson 8A-1
Graphing Linear Inequalities
Step 1: Solve the inequality for y. (slope intercept form)
Step 2: Graph the boundary line. Use a solid line for ≤ of ≥. Use a dashed line for < or >.
Step 3: Shade the half-plane above for y > or y ≥.
Shade the half-plane below the line for y < or y ≤.
Step 4: C heck your answer.
​
Graph the Linear Inequalities ​
3)

4)
If an ordered pair is a solution to y < 4,
then it will be located
__________________________
the line y = 4.

If an ordered pair is a solution to x ​ 1​ ,
then it will be located
_________________________
the line x =1.
Quick check for understanding
Graph the inequality.
y ​ 2​
3
5)
SWBAT: Graph linear inequalities in 2 variables
Lesson 8A-1
6)
If an ordered pair is a solution, then it will be If an ordered pair is a solution, then it will be located
located __________________________
__________________________
the line y =
the line y =
Name a point in the solution set:
______________
Name a point not in the solution set:
_______________
Name a point in the solution set: ______________
Name a point not in the solution set:
___________________
4
SWBAT: Graph linear inequalities in 2 variables
Lesson 8A-1
Independent Practice:
7)
8)
If an ordered pair is a solution, then it
will be located ________________
the line y =
If an ordered pair is a solution, then it
will be located ________________
the line y =
Name a point in the solution set: __________
Name a point in the solution set: _______
Name a point not in the solution set:
Name a point not in the solution set:
5
SWBAT: Graph linear inequalities in 2 variables
Lesson 8A-1
LESSON PRACTICE
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
6
SWBAT: Graph linear inequalities in 2 variables
Lesson 8A-1
Lesson Practice Answers ​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
​
7