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Solve and Graph Inequalities

1. Teaching Objectives

Students will be able to solve and graph inequalities.

2. Instructional Activities

Teacher will introduce the lesson by reviewing the definition of an equation.
An equation is mathematical sentence with an equal sign . Next the teacher
will solve four equations and check the solutions. This will be a review: n- 7
= 10, 8t = 56, x + 10 = 17, and m/8 = -15.

Next the teacher will give the students the definition for an inequality. An
inequality is a comparison of two expressions. The teacher will then write
and solve four inequalities: (1) d + 5 < 9 (2) m – 3 > 8
(3)7p > 49 (4) d/8 < 20

The teacher will point out to the students that the symbols will reverse when
multiplying or dividing with negative integers . To explain, the teacher will
tell the students that the relationship between the inequalities will reverse
when multiplying or dividing integers .

Example,
-3a < 12
a > -4

To further explain, the teacher will show an example of a true and false
inequality: -2 > - 3 this statement is true. However, when you multiply this
problem:
2(-2) > -2(-3) is a false statement. This is why the symbols must reverse.

Now the teacher will show students all the symbols they will be using as
well as how to draw the number line . See attachment # 1. The teacher will
assign students four problems to solve on their own. See attachment # 2
When the teacher feels that all students have a clear understanding, students
will complete activities. See attachment # 3

3. Materials and Resources

Students will need: notebook, paper, and pencils
Teacher will need: Overhead, transparencies, activity pages.

Assessment
Teacher will observe students work and ask questions. Problems will be
graded with a mastery of 70%.

Solving Inequalities Attachment # 3

Directions: Below you will find your name next to an inequality problem or
the solution to an inequality problem.

Step # 1. Find your name. If your name has a problem beside it when called
on, come to the board and solve the inequality.

Step # 2. If your name has a solution beside it when you see the solution,
come to the board and graph the solution .

Names Problems/Solutions
Tanya n – 3 > 8
Roy Lee 4 + f > -7
Juan -5 1/2 > z – 3
Sara 950 + n < 2
Tim 25 > b - 18
Diana m + 4 < -2
John m + ½ > 3
Terry 4.5 > n + 6
Anna y + 78 > 54
Maria n > 11
Sam z < -2
Lynnette b < 7
Sonya n < -948

Symbols Used In Graphing Inequalities Attachment # 1

Number Line

Closed and Open circles

Less Than and Greater Than

< >

Less Than or Equal

Greater Than or Equal

 ≥

Solve the following Inequalities and graph. (Show all your work)

1. 7p > 49

2.

3. n – 3 > 8

4. m + 1/2 < 3

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