Answer:
A∩B={[tex]25, 45, 65[/tex]}
B is a proper subset of A:
B⊂A
Step-by-step explanation:
A∩B means the intersection of the set A and the set B. In other words, is the set of elements contained in these both sets.
Given the set A and the set B:
[tex]A =[/tex]{[tex]15, 25, 35, 45, 55, 65[/tex]}
[tex]B =[/tex]{[tex]25, 45, 65[/tex]}
You can indentify that the numbers common in both sets are: 25,45 and 65.
Therefore you get:
A∩B={[tex]25, 45, 65[/tex]}
Since all elements of B are in A, and A contains elements that are not in B, then B is a proper subset of A:
B⊂A