Let a = {15, 25, 35, 45, 55, 65} and b = {25, 45, 65}. what is a ∩ b?

A∩B={}

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:

{}

{}

You can indentify that the numbers common in both sets are: 25,45 and 65.

Therefore you get:

A∩B={}

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

99

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24

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