Linear Inequalities
What type of line do you use for < or >?
dashed
Graph the system of inequalities and provide 2 possible solutions:
[y > x]
[y < 2x]
Answers vary
Show a graph for this system of inequalities:
[x >= 0]
[y <= 3]
Show graphed example
Can you have a negative solution to a real world example of linear inequalities?
How many stars are in our solar system?
1- The sun
What type of line do you use for less than and equal to or greater than and equal to?
solid
A solid line is used when...?
less than or equal to OR greater than or equal to
Determine if the point (2, 2) is a solution to the system of inequalities:
[x + y < 4] [2x - y >= 0]
No
Lois can't spend more than $40 on stickers. How can i represent this as an inequality
x<= 40
How many keys are there on a piano?
88
When you shade for > or >=, where would you shade?
Above the line
Is a point that falls on the dashed line of an inequality a solution?
It is not. It is on the dashed line. A dashed line is not inclusive; the points on the line are not included in the solution set.
Explain what it means for a point to be a viable solution in the context of a system of linear inequalities.
Answers vary: for a solution to be viable, it needs to make both inequalities true and fall in the area where both sets of inequalities shading overlaps
John wants to buy at least 5 cups of coffee. How can he represent this as an inequality?
x>= 5
Can you name 10 countries in Africa?
List 10.
Where would you shade when you have < or <=?
Below the line
Is a point on the solid line of an inequality a solution?
Yes - it is included in the solution set because it is on the solid line, which is inclusive. The points on the solid line are included in the solution set.
How could you determine if a point is a solution without graphing?
Answers vary: the x and y of the point should satisfy both equations and make them true
Students are organizing a school dance. Tickets cost $5/each, and pizza at the event costs $2/ each. They have to make at least $200 and can't sell more than 50 tickets. What are the constraints of this problem?
- Making $200 and limit on tickets.
Who wrote To Kill a Mockingbird?
Harper Lee
what can you use to check and make sure you are shading the proper region?
Test Point
What area of the graph contains the solutions in a system of inequalities?
The crossover shaded areas of the inequalities.
What is a/the solution to this set of inequalities?
y >-2x +1
y > -2x+1
infinitely many solutions
Students are organizing a school dance. Tickets cost $5/each, and pizza at the event costs $2/ each. They have to make at least $200 and can't sell more than 50 tickets. Write out a system of inequalities to model this scenario.
x<= 50
5x + 2y >= 200
Can you name 16 NFL teams?
16 team names.