1. Define set.
A set is a collection or group of well-defined and well-distinguished objects that follow a certain common rule.
Example:
a. a set of Nike shoes
b. the set of people attending Mae's birthday party
2.) Illustrate the following:
A. Subset
A set A is a subset of set B if every element of A is an element of B.
Example:
1. Let X = {a,e,i,o,u}, Y = {a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}
Set X is a subset of set Y because every element of X is an element of Y.
2. Let A = {1,2,3}, B = {1,2,3,4}
Set A is a subset of set B because every element of A is an element of B.
B. Empty Set
An empty set (or null set) is a set that contains no element. It is denoted by { }.
Example:
a. the set of month containing less than 15 days
b. the set of month having more than 31 days
C. Universal Set
Universal set is a set containing all of the elements of interest in a particular situation.
Example:
a. the set of oranges in a fruit seller's shop is a subset of the universal set of fruits in the shop
b. the set of the consonants is a subset of the universal set of the letters found in the alphabet.
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Sorry if it looks a bit much confusing.
:)
