Answer:
c
Step-by-step explanation:
A = {1, 2, 5, 6, 8}
{1} U {2, 5, 6, 8}
{2} U {1, 5, 6, 8}
{5} U {1, 2, 6, 8}
{6} U {1, 2, 5, 8}
{8} U {1, 2, 5, 6}
{1, 2} U {5, 6, 8}
{1, 5} U {2, 6, 8}
{1, 6} U {2, 5, 8}
{1, 8} U {2, 5, 6}
{1, 2, 5} U {6, 8}
{1, 2, 6} U {5, 8}
{1, 2, 8} U {5, 6}
{1, 5, 6} U {2, 8}
{1, 5, 8} U {2, 6}
{1, 6, 8} U {2, 5}
The answer is 15 distinct pairs of disjoint non-empty subsets.
Answer:
x=7
y =-1
Step-by-step explanation:
Given is a system of equations in x and y as

This can be written in matrix form as
Ax = B
![\left[\begin{array}{ccc}1&7\\2&-8\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}0\\22\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%267%5C%5C2%26-8%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%5C%5C22%5Cend%7Barray%7D%5Cright%5D)
Let us find inverse of A

![A^{-1} =\frac{-1}{22} *\left[\begin{array}{ccc}-8&-7\\-2&1\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7D%20%3D%5Cfrac%7B-1%7D%7B22%7D%20%2A%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-8%26-7%5C%5C-2%261%5Cend%7Barray%7D%5Cright%5D)
X= A ^(-1) B
x=7, y =-1