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}.

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}

,kjhgfd

step-by-step explanation: