# 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**

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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