The following set notation will be used:• n(A) Number of elements in set A• ∈ “… is an element of …”• ∉ “… is not an element of …”• A′ Complement of set A• ∅ The empty set• Universal set• A ⊆ B A is a subset of B• A ⊈ B A is not a subset of B• A ∪ B Union of A and B• A ∩ B Intersection of A and B.Example definition of sets:A = {x: x is a natural number}B = {(x, y): y = mx + c}C = {x: a ⩽ x ⩽ b}D = {a, b, c, …

It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A ⊆ B,

Define: Set, Subset, Complement

When a set does not contain any element, it is known as __________.

Fill in the blank The ______ of sets A and B is the set of all the elements which are common to both A and B

A = {(n + 1)2 − n2 | n ∈ N}is the set of all odd numbers.Write down a similar expression for the set, B, of all even numbers.List the elements of the setsC = {(n + 1)2 − (n2 + 2n) | n ∈ N}and (A ∩ B) ∪ C.