Practice Exercise No. 1A, Set Theory Part 1

A set is a well-defined collection of distinct objects. It is an unordered collection of objects.

True or False?

• True

• False

{ x | x is a BSInfoTech Student}

This is an example of describing set in

• Roster Form

• Universal Form

• Set Builder Notation

• Name notation

What type of set is denoted as either { } or ∅?

• Universal Set
• Empty (or Null) Set
• Disjointed Set
• Complement of a Set

Given: $A=\left\{x\left|x\ is\ a\ letter\ in\ the\ word\ KNOWLEDGE\ \right|\right\}$ What is n(A)

• 9

• 8

• 7

• 0

Set  Q  contains the letters in the word  SISTER .
 Which of the following is set  Q ?

• Q = { S, T, R }
• Q = { I, E }
• Q = { S, I, S, T, E, R }
• Q = { S, I, T, E, R }

Which of the following sets is infinite?

• Set W is a counting number less than 5.

• Set A is a set of whole number between 10 and 15.

• Set Y is a set of letters in the English alphabet after U.

• Set S is a set or prime numbers.

If A = {{1,2}, 3, 5, {6}}, then {6} ∈ A.

• TRUE

• FALSE

• True

• False

Which of the following sets determines $\left\{x\ |\ x\ is\ a\ real\ number\ such\ that\ x^2=1\right\}$  

•  $\left\{\ \ \ \right\}$  
  

•  $\left\{-1,\ 0,\ 1\right\}$  
  

•  $\left\{-1,\ 1\right\}$  
  

•  $\left\{1\right\}$  

Given the set $\left\{x^2-1\ |\ \ x∈Z,-3≤x≤3\right\}\$  

Which of the following is NOT an element of the set?

•  $8$  
  

•  $3$  
  

•  $0$  
  

•  $2$