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 .
-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
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.
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 .
|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
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
3. n – 3 > 8
4. m + 1/2 < 3