
Systems of Inequalities (part 1)
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Christopher Gassler
Used 64+ times
FREE Resource
14 Slides • 5 Questions
1
Systems of Inequalities
Objective: Solve Systems of Inequalities
2
Graphing Inequalities REVIEW
Use the y-intercept and slope the same as before
The symbols ≤ or ≥ mean you use a SOLID LINE
The symbols < or > mean you use a DOTTED LINE
The symbols ≤ and < mean you SHADE BELOW
The symbols ≥ and > mean you SHADE ABOVE
3
Multiple Select
When graphing y≥−72x+1 , you will draw which of the following.
A dotted line
A solid line
Shade above
Shade below
4
Example 2
Graph: y>−32x+2
y-intercept:
slope:
Solid or Dotted line
Shade above or below
5
Multiple Choice
Which is the graph for the inequality: y>−41x+1 ?
6
CORRECT ANSWER
> means DOTTED LINE
> means SHADE ABOVE
7
System of Equations
REVIEW
Graph
y=−21x−3 and y=3x−10
The solution is (2,-4)
WHERE THE LINES CROSS
8
System of Inequalities
A system of inequalities is TWO or more inequalities graphed in the same plane.
The SOLUTION SET is where the shaded areas overlaps.
9
Example 1
Solve the system
y≤−21x+3 and y>3x−1
Graph and shade both.
The solution set is the overlap.
10
Example 1 (answer)
Solve the system
y≤−21x+3 and y>3x−1
Graph and shade both.
The solution set is the overlap.
(where the red and blue shading crosses)
11
VIDEO
Watch this video if you were absent for the lesson or need to review what we went over in class.
12
Multiple Choice
Which graph represents the solution set of the following system?
y≤−3x+5 and y>−41x−3
13
ANSWER
Let's walk through the answer.
Which graph represents the solution set of the following system?
y≤−3x+5 and y>−41x−3
14
ANSWER
If you missed the live lesson.
Graph: y≤−3x+5
Graph: y>−41x−3
See BOTH on the same graph.
Then JUST the overlap of the shadeed areas.
15
Multiple Choice
Which graph represents the solution set of the following system?
y<32x−1 and y≥−21x+2
16
ANSWER
Let's walk through the answer.
Which graph represents the solution set of the following system?
y<32x−1 and y≥−21x+2
17
Multiple Select
Choose both inequalities that would create the graph.
y>2x−8
y≥2x−8
y>21x−8
y≤21x+2
y≤2x+2
18
ANSWER
Use graph to create inequality.
y>2x−8
y≥2x−8
y>21x−8
y≤21x+2
y≤2x+2
19
VIDEO
This video is an explanation of how to complete the previous question if you were absent.
Systems of Inequalities
Objective: Solve Systems of Inequalities
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