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1. Define set.

2.) Illustrate the following:

A set A is a subset of set B if every element of A is an element of B.

**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.

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

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.

:)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.

--

Sorry if it looks a bit much confusing.

:)