Answer:
Part A) and
Part B) The point (45,10) and the point (40,5) satisfy the system
Step-by-step explanation:
Part A) Determine which inequalities represent the constraints for this situation
Let
x -----> the number of small prints sold
y -----> the number of large prints sold
we know that
The system of inequalities that represent this situation is equal to
----> inequality A
----> inequality B
Part B) With combinations of small prints and large prints satisfy this system?
we know that
If a ordered pair is a solution of the system, then the ordered pair must satisfy both inequalities
<em>Verify each case</em>
case 1) (45,10)
For x=45, y=10
<em>Inequality A</em>
----> is true
<em>Inequality B</em>
----> is true
therefore
The point (45,10) satisfy the system
case 2) (35,15)
For x=35, y=15
<em>Inequality A</em>
----> is true
<em>Inequality B</em>
----> is not true
therefore
The point (35,15) does not satisfy the system
case 3) (30,10)
For x=30, y=10
<em>Inequality A</em>
----> is true
<em>Inequality B</em>
----> is not true
therefore
The point (30,10) does not satisfy the system
case 4) (40,5)
For x=40, y=5
<em>Inequality A</em>
----> is true
<em>Inequality B</em>
----> is true
therefore
The point (40,5) satisfy the system