set notation help? Pleasee asap ;o

Question

Set notation help :o ASAP please thanks
X= {x:x≤14}
Y={x:x>8}
List the members of the set X∩Y
(positive integers)
show working pls if u can thanks

Answer 1

You want the intersection of the two sets. These are the numbers that are in both of the sets.

x ≤ 14 and x > 8

8 < x and x ≤ 14

8 < x ≤ 14

 

X ∩ Y = {x:8<x≤14}