Let A {x ∈ N : 3 ≤ x ≤ 13}, B {x ∈ N : x is even}, and C {x ∈ N : x is odd}.

(a) Find A ∩ B.

(b) Find A ∪ B.

(c) Find B ∩ C.

(d) Find B ∪ C. 3. Find an example of sets A and B such that A ∩ B {3, 5} and A ∪ B {2, 3, 5, 7, 8}.

Answer: The answer is as follows:

Step-by-step explanation:

From the given information, we have

Let A {x ∈ N : 3 ≤ x ≤ 13}, B {x ∈ N : x is even}, and C {x ∈ N : x is odd}

A = {3,4,5,6,7,8,9,10,11,12,13}

B = {2,4,6,8,10,12,14, ..., ... }

C = {1,3,5,7,9,11,13,15,17, ...,}

(a) A∩B = {4,6,8,10,12}

(b) A∪B = {3,5,7,9,11,13 and x ∈ N : x is even}

(c) B∩C = {∅}

(d) B∪C = { x ∈ N : x is even and x ∈ N : x is odd}

Example of sets A and B when A ∩ B = {3, 5} and A ∪ B = {2, 3, 5, 7, 8}

A = {2,3,5,7,8} and B = {3,5}