Answer:
[tex]AnB=(5,6,7,8,9)[/tex]
[tex](AUB)=(5,\infty) U (-\infty,9)[/tex]
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 [tex]AnB[/tex]
Mathematically the [tex]AnB[/tex] is given as
[tex]AnB[/tex]=[tex]A=(5,6,7,8,9,10......) n B=(9,8,7,6,5,4,3,2,1......)[/tex]
[tex]AnB[/tex]=(5,6,7,8,9)
Therefore the intercept [tex]AnB[/tex] is Given as
[tex]AnB=(5,6,7,8,9)[/tex]
b) for [tex]AuB[/tex]
Mathematically the [tex]AuB[/tex] is given as
[tex]AuB[/tex]=[tex]A=(5,6,7,8,9,10......) U B=(9,8,7,6,5,4,3,2,1......)[/tex]
[tex]AuB[/tex]= [tex](5,\infty) U (-\infty,9)[/tex]
Therefore the union [tex]AuB[/tex] i given as
[tex]AuB[/tex]= [tex](5,\infty) U (-\infty,9)[/tex]
