Answer:
![AnB=(5,6,7,8,9)](https://tex.z-dn.net/?f=AnB%3D%285%2C6%2C7%2C8%2C9%29)
![(AUB)=(5,\infty) U (-\infty,9)](https://tex.z-dn.net/?f=%28AUB%29%3D%285%2C%5Cinfty%29%20U%20%28-%5Cinfty%2C9%29)
Step-by-step explanation:
From the question we are told that
A= {z│z > 4}
B= {z│z ≤ 9}
Generally A&B are assumed to be really integers
therefore
A={5,6,7,8,.....}={z│z > 4}
B=(9,8,7,6.....)={z│z ≤ 9}
a)For ![AnB](https://tex.z-dn.net/?f=AnB)
Mathematically the
is given as
=![A=(5,6,7,8,9,10......) n B=(9,8,7,6,5,4,3,2,1......)](https://tex.z-dn.net/?f=A%3D%285%2C6%2C7%2C8%2C9%2C10......%29%20n%20B%3D%289%2C8%2C7%2C6%2C5%2C4%2C3%2C2%2C1......%29)
=(5,6,7,8,9)
Therefore the intercept
is Given as
![AnB=(5,6,7,8,9)](https://tex.z-dn.net/?f=AnB%3D%285%2C6%2C7%2C8%2C9%29)
b) for ![AuB](https://tex.z-dn.net/?f=AuB)
Mathematically the
is given as
=![A=(5,6,7,8,9,10......) U B=(9,8,7,6,5,4,3,2,1......)](https://tex.z-dn.net/?f=A%3D%285%2C6%2C7%2C8%2C9%2C10......%29%20U%20B%3D%289%2C8%2C7%2C6%2C5%2C4%2C3%2C2%2C1......%29)
= ![(5,\infty) U (-\infty,9)](https://tex.z-dn.net/?f=%285%2C%5Cinfty%29%20U%20%28-%5Cinfty%2C9%29)
Therefore the union
i given as
= ![(5,\infty) U (-\infty,9)](https://tex.z-dn.net/?f=%285%2C%5Cinfty%29%20U%20%28-%5Cinfty%2C9%29)