Systems of Inequalities
In math, this symbol
<
means this.
What is "less than"
The quadrant in which the solution to the following system lies:
y = x + 4
y = 2x + 5
What is II
The solution to the system of equations:
x + y = -6
x - y = -10
What is (-8, 2)?
x = 4y
2x + 3y = 22
If I wanted to evenly split 8,341 pieces of candy amongst x amount of students, I would use this mathematical operation.
What is division?
If you graph and shade a system of inequalities, and the shading never overlaps, this is your answer.
What is "no solution"
The solution to the system of equations:
y = 3x - 2
y = -x - 2
What is (0, -2)?
The solution to the system:
8a + 5b = 9
2a - 5b = -4
What is (0.5, 1)?
y = x - 2
3x - y = 16
If I had 4,829 groups of 9 gazillion bees, I would use this mathematical operation.
What is multiplication?
Show your solution to the system y < x + 2 and x > 3
shade under y < x + 2 and to the right of x > 3. Both are dotted lines.
The solution to the system of equations:
y = 3x = 3
y = 3x - 2
What is no solution?
The solution to the system:
6x + 9y =18
-6x - 10y = -30
What is (-15, 12)?
y = 3x - 1
7x + 2y = 37
If I wanted to find the product of two numbers, I would use this mathematical operation.
What is multiplication?
Is (3, -4) a solution to 3x - y > 13
No. 13 = 13 (not greater)
The solution to the system of equations
y = -3/2x + 1
y = x - 4
What is (2, -2)
The solution to the system
-8a + 16b = -48
-8a + 16b = -48
What is infinitely many solutions?
The solution to the system
-6x + 3y = 18
y = 3x + 6
What is (0, 6)
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
This method is the only method you can use to solve a system of INequalities.
What is graphing?
The solution to the system of equations:
y = -3
x = 5
What is (5, -3)
The solution to the system:
-7x + 3y = 29
-7x + y = 19
What is (-2, 5)
The solution to the system
-x - y = -11
y = -2x +19
What is (8, 3)
The amount of money each dog received when Mrs. Pemoller gave $25,000 divided between Stevie and Eileen, with Stevie receiving $5000 less than Eileen.
What is $15,000 for Eileen and $10,000 for the Stevie?