Inequalities: Solving and Graphing

Inequalities
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Slide 1: Slide
Mathematics9th,10th Grade

This lesson contains 8 slides, with interactive quizzes and text slides.

time-iconLesson duration is: 15 min

Items in this lesson

Inequalities

Slide 1 - Slide

Slide 2 - Slide

What does each of the following symbols mean
a. > b. ˂ c. ≤ d. ≥

Slide 3 - Open question

Example: 
                       -3x ˂ 12

 1. (-3x) / (-3)  <  12  (-3)      Divide   
                            x < -4                           
    
 2.  x > -4              *Reverse symbol


 3.  {𝑥: 𝑥 > −4}   Write notation.
                                                              





Solving Inequalities
1. Isolate the variable term by multiplying or dividing.
*When you multiply or divide by a negative number then reverse the inequality symbol.* 
2. Reverse symbol. 
3. Write the notation  set.


Slide 4 - Slide

Solve: 7x ˂ 28
A
x ˃ -4
B
x ˂ 4
C
x ˃ 4
D
x ˂ -4

Slide 5 - Quiz

Graphing Inequalities
           1. Determine if you use a closed circle or open circle.
Remember: closed circle - equals to; open circle- not equal
           2. Is the sign greater or less than
           3. Graph the inequality
Example:   
          x > -4                                                                                                       

Slide 6 - Slide

-4x < 12

A
x ˂ -3
B
x > 3
C
x > -3
D
x ˂ 3

Slide 7 - Quiz

WHAT I NOW KNOW
At the end of this lesson you should know:
1. how to algebraically solve an inequality 
2. how to graph the solution of the inequality


Slide 8 - Slide