Answer alla questions on the image

Here are the solutions to the questions in the image:

a) What is the definition of a set?

A set is a collection of distinct objects, where the order of the objects does not matter. These objects are called elements or members of the set.

b) List the elements of the set A = {x | x is an even number between 1 and 10}

The elements of set A are the even numbers that are greater than 1 and less than 10.
The elements are: 2, 4, 6, 8.
So, A = {2, 4, 6, 8}.

c) If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, find A ∪ B.

The union of two sets A and B, denoted by A ∪ B, is the set of all elements that are in A, or in B, or in both.
A ∪ B = {1, 2, 3, 4} ∪ {3, 4, 5, 6}
Combine all unique elements from both sets:
A ∪ B = {1, 2, 3, 4, 5, 6}

d) If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, find A ∩ B.

The intersection of two sets A and B, denoted by A ∩ B, is the set of all elements that are common to both A and B.
A ∩ B = {1, 2, 3, 4} ∩ {3, 4, 5, 6}
Identify the elements that appear in both sets:
A ∩ B = {3, 4}

e) If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, find A - B.

The difference of two sets A and B, denoted by A - B, is the set of all elements that are in A but not in B.
A - B = {1, 2, 3, 4} - {3, 4, 5, 6}
Remove elements from A that are also present in B:
A - B = {1, 2}

f) If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, find B - A.

The difference of two sets B and A, denoted by B - A, is the set of all elements that are in B but not in A.
B - A = {3, 4, 5, 6} - {1, 2, 3, 4}
Remove elements from B that are also present in A:
B - A = {5, 6}