Answer: f(x) = -3/2x -2
Step-by-step explanation:
Slope form of a line is y=mx+b, where b is the y-intercept and m is the slope. We find the y-intercept when we look at when x is 0 which would be -2. The slope is graphing to plots and determining if the slope is positive- going up- or negative- going down. The slope is going down and after using y2 - y1 / x2 - x1, I found the slope was -3/2.
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4, 5, 8, 9}. List the element
Leto [7]
Answer:
![C\ n\ C^c = \{ \}](https://tex.z-dn.net/?f=C%5C%20n%5C%20C%5Ec%20%3D%20%5C%7B%20%5C%7D)
![(A\ n\ C)^c = \{2,3,4,6,7,8,10\}](https://tex.z-dn.net/?f=%28A%5C%20n%5C%20C%29%5Ec%20%3D%20%5C%7B2%2C3%2C4%2C6%2C7%2C8%2C10%5C%7D)
![A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}](https://tex.z-dn.net/?f=A%5C%20u%5C%20%28B%5C%20n%5C%20C%29%20%3D%20%5C%7B1%2C%202%2C3%2C%204%2C5%2C%207%2C%208%2C9%5C%7D)
Step-by-step explanation:
Required
Determine
![C\ n\ C^c](https://tex.z-dn.net/?f=C%5C%20n%5C%20C%5Ec)
![(A\ n\ C)^c](https://tex.z-dn.net/?f=%28A%5C%20n%5C%20C%29%5Ec)
![A\ u\ (B\ n\ C)](https://tex.z-dn.net/?f=A%5C%20u%5C%20%28B%5C%20n%5C%20C%29)
Solving ![C\ n\ C^c](https://tex.z-dn.net/?f=C%5C%20n%5C%20C%5Ec)
implies that elements in U but not in C
Since
![C = \{1, 2, 4, 5, 8, 9\}](https://tex.z-dn.net/?f=C%20%3D%20%5C%7B1%2C%202%2C%204%2C%205%2C%208%2C%209%5C%7D)
![C^c = \{3, 6, 7, 10\}](https://tex.z-dn.net/?f=C%5Ec%20%3D%20%5C%7B3%2C%206%2C%207%2C%2010%5C%7D)
![C\ n\ C^c = \{1, 2, 4, 5, 8, 9\}\ n\ \{3, 6, 7, 10\}](https://tex.z-dn.net/?f=C%5C%20n%5C%20C%5Ec%20%3D%20%5C%7B1%2C%202%2C%204%2C%205%2C%208%2C%209%5C%7D%5C%20n%5C%20%5C%7B3%2C%206%2C%207%2C%2010%5C%7D)
![C\ n\ C^c = \{ \}](https://tex.z-dn.net/?f=C%5C%20n%5C%20C%5Ec%20%3D%20%5C%7B%20%5C%7D)
<em>Because there's no intersection between both</em>
Solving ![(A\ n\ C)^c](https://tex.z-dn.net/?f=%28A%5C%20n%5C%20C%29%5Ec)
First, we need to determine A n C
![A\ n\ C = \{1, 3, 5, 7, 9\}\ n\ \{1, 2, 4, 5, 8, 9\}](https://tex.z-dn.net/?f=A%5C%20n%5C%20C%20%3D%20%5C%7B1%2C%203%2C%205%2C%207%2C%209%5C%7D%5C%20n%5C%20%5C%7B1%2C%202%2C%204%2C%205%2C%208%2C%209%5C%7D)
![A\ n\ C = \{1, 5, 9\}](https://tex.z-dn.net/?f=A%5C%20n%5C%20C%20%3D%20%5C%7B1%2C%205%2C%209%5C%7D)
![(A\ n\ C)^c = (\{1, 5, 9\})^c](https://tex.z-dn.net/?f=%28A%5C%20n%5C%20C%29%5Ec%20%3D%20%28%5C%7B1%2C%205%2C%209%5C%7D%29%5Ec)
![(A\ n\ C)^c = \{2,3,4,6,7,8,10\}](https://tex.z-dn.net/?f=%28A%5C%20n%5C%20C%29%5Ec%20%3D%20%5C%7B2%2C3%2C4%2C6%2C7%2C8%2C10%5C%7D)
Solving ![A\ u\ (B\ n\ C)](https://tex.z-dn.net/?f=A%5C%20u%5C%20%28B%5C%20n%5C%20C%29)
First, we need to determine B n C
![B\ n\ C = \{2, 4, 6, 8, 10\}\ n\ \{1, 2, 4, 5, 8, 9\}](https://tex.z-dn.net/?f=B%5C%20n%5C%20C%20%3D%20%5C%7B2%2C%204%2C%206%2C%208%2C%2010%5C%7D%5C%20n%5C%20%5C%7B1%2C%202%2C%204%2C%205%2C%208%2C%209%5C%7D)
![B\ n\ C = \{2, 4, 8\}](https://tex.z-dn.net/?f=B%5C%20n%5C%20C%20%3D%20%5C%7B2%2C%204%2C%208%5C%7D)
So:
![A\ u\ (B\ n\ C) = \{1, 3, 5, 7, 9\}\ u\ \{2,4,8\}](https://tex.z-dn.net/?f=A%5C%20u%5C%20%28B%5C%20n%5C%20C%29%20%3D%20%5C%7B1%2C%203%2C%205%2C%207%2C%209%5C%7D%5C%20u%5C%20%5C%7B2%2C4%2C8%5C%7D)
![A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}](https://tex.z-dn.net/?f=A%5C%20u%5C%20%28B%5C%20n%5C%20C%29%20%3D%20%5C%7B1%2C%202%2C3%2C%204%2C5%2C%207%2C%208%2C9%5C%7D)
Answer:
18 5/12 is the answer.
Step-by-step explanation:
As an inequality it would be: -1 + 5 * 6 < 29