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OBJECTIVE: How do we graph inequalities?


                      Do Now


 Solve and Check the following equations.

  1.) -3x + 12 = -15                  x
                                2.)     - 3 = -2
                                      4




                                                   1
Anticipatory Set
 1.) What numbers could you substitute for the variable in this
 mathematical sentence?
                              x>3

 2.) What numbers can not be substituted for x?




x > 3 is an INEQUALITY- a mathematical sentence that contains




                                                                  2
When an inequality contains a variable, any number that makes that
inequality true is a SOLUTION OF THE INEQUALITY.

In the example x > 3, any number larger than 3 is a SOLUTION TO
THE INEQUALITY.



3.) How would you show that on a number line?




                                                                     3
Read over the examples to
the right and answer the
question below.

Based on the examples, how
do we graph an inequality?




                             4
1.) a.) Graph the following inequality:

          x<6




   b.) List three solutions to the inequality.




                                                 5
2.) a.) Graph the following inequality:

         x ≤ -5




     b.) List three solutions to the inequality.




                                                   6
Write the inequality for the following graph.




 b.) List three solutions to the inequality.




                                                7
b.) Write the inequality for the following graph.




     b.) List three solutions to the inequality.




                                                    8
Before You Leave
        Write an inequality from the following sentences.
        Remember to define your variable.

1. No more than 18 people are allowed in the gallery at one time.




2. There are fewer than 8 fish in the aquarium.




3. The water level is at least 45 inches




                                                                    9
Mr. Tjersland's Math 7




Homework: Homework Sheet




                                 10

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D ay 12 graphing inequalities

  • 1. OBJECTIVE: How do we graph inequalities? Do Now Solve and Check the following equations. 1.) -3x + 12 = -15 x 2.) - 3 = -2 4 1
  • 2. Anticipatory Set 1.) What numbers could you substitute for the variable in this mathematical sentence? x>3 2.) What numbers can not be substituted for x? x > 3 is an INEQUALITY- a mathematical sentence that contains 2
  • 3. When an inequality contains a variable, any number that makes that inequality true is a SOLUTION OF THE INEQUALITY. In the example x > 3, any number larger than 3 is a SOLUTION TO THE INEQUALITY. 3.) How would you show that on a number line? 3
  • 4. Read over the examples to the right and answer the question below. Based on the examples, how do we graph an inequality? 4
  • 5. 1.) a.) Graph the following inequality: x<6 b.) List three solutions to the inequality. 5
  • 6. 2.) a.) Graph the following inequality: x ≤ -5 b.) List three solutions to the inequality. 6
  • 7. Write the inequality for the following graph. b.) List three solutions to the inequality. 7
  • 8. b.) Write the inequality for the following graph. b.) List three solutions to the inequality. 8
  • 9. Before You Leave Write an inequality from the following sentences. Remember to define your variable. 1. No more than 18 people are allowed in the gallery at one time. 2. There are fewer than 8 fish in the aquarium. 3. The water level is at least 45 inches 9
  • 10. Mr. Tjersland's Math 7 Homework: Homework Sheet 10