Inequality Math
What is the slope of the inequality:
3x + 2y > 12
-3/ 2 or down 3 then right 2
A set of two or more linear inequalities that are graphed on the same coordinate plane; the intersection of their solution regions represents the solution set for the system.
feasible region
The solution region for a system of linear inequalities; the multi-shaded region
What is a problem where a quantity must be maximized or minimized following a set of guidelines, conditions, or limitations?
Optimization problem
What are the names of Mrs. Wahl's dogs?
Hans and Chewy
What is the y-intercept of the inequality:
3x + 2y = 12
(0,6)
What does > represent? What does < represent?
more than/ greater than
less than/ fewer than
maximum
A vertex in the solution set for the objective function.
A limiting condition of the optimization problem represented by a linear inequality.
Constraint
What are the colors of the rainbow?
Red, Orange, Yellow, Green Blue, Indigo, Violet
(ROYGBIV)
Where is the solution region of the inequality:
3x + 2y = 12
Above y > -3/2 x + 6
What does the line under a > or < symbol mean?
The intersection points of the boundaries are called?
Vertices or corners
In an optimization problem, the equation that represents the relationship between the two variables in the system of linear inequalities and the quantity to be optimized.
Objective Function
What year will someone in 8th grade graduate?
2031
Name a solution to the following system of inequalities:
3x + 2y > 12
-2x + y < 1
See Desmos
After graphing a linear inequality, we want to choose a point to test. What point do we normally use?
(0,0)
Minimum
A vertex in the solution set for the objective function.
What is the first step to solve an optimization problem?
Define variables
Spell the 3rd day of the week if the week started on Monday.
Wednesday
Find each vertex:
3x + 2y > 12
-2x + y < 1
4<x<6
(6,-3)
(4,0)
(4,9)
(6,13)
If the point (0,0) is not in the shaded region, what does that mean?
(0,0) is not a solution
When reading an application of optimization problem, what is the first thing you should look for?
What is the last step to solve an optimization problem?
Test each vertex and explain your reasoning.
What is the complimentary color of orange?
Blue