QUESTIONS WITH VERIFIED ANSWERS 2026
Set - CORRECT ANSWER A clearly defined group of objects.
Element - CORRECT ANSWER A member of a set.
-Ex:
Set A = {5, 7, 9, 11, 13}
~ To show that 11 is an ______ of the set, we say 11 ∈ A
~ To show that 8 is NOT an _______ of the set, we say 8 ∉ A
Symbol for Element - CORRECT ANSWER ∈, ∉
Null/Empty Set - CORRECT ANSWER A clearly defined set that has nothing in it.
Symbol for Null/Empty Set - CORRECT ANSWER Ø or { }
Set-Builder Notation - CORRECT ANSWER A way of describing the elements in a
set.
-Ex: A= {x | x is odd}
Read as: A is a set of elements x, such that x is odd.
,Universal Set - CORRECT ANSWER A set that includes all the objects being
discussed.
- Ex: U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
Example Sets - CORRECT ANSWER U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
A = {5, 7, 9, 11, 13}
B = {6, 8, 10, 12, 14}
C = {5, 6, 7, 9, 11, 13, 14}
D={}
Subset - CORRECT ANSWER Set A is a ______ of Set B if every element in A is also
an element of B.
-Ex:
A = {5, 7, 9, 11, 13}
C = {5, 6, 7, 9, 11, 13, 14}
So, A ⊆ C but C ⊈ A
Symbol for Subset - CORRECT ANSWER ⊆,⊈
Number of Subsets - CORRECT ANSWER There are 2 possibilities for an element:
either the element is in the subset or it's not. So the formula is 2^n where n is the
number of elements in the set.
, Formula for Number of Subsets - CORRECT ANSWER 2ⁿ
Complement - CORRECT ANSWER The set of elements from the universal set
which are NOT in the given set.
Complement Rule - CORRECT ANSWER P(E) = 1 - P(E') and P(E') = 1 - P(E)
Intersection of Sets - CORRECT ANSWER The elements which are found in both
sets.
Symbol for Intersection of Sets - CORRECT ANSWER ∩, and
Union of Sets - CORRECT ANSWER The elements which are found in one or the
other of the sets.
Symbol for Union of Sets - CORRECT ANSWER ∪, or
Disjoint Sets - CORRECT ANSWER Two sets that have no elements in common.
(Therefore, they do not intersect.)
Union Rule - CORRECT ANSWER n(A∪B) = n(A) + n(B) - n(A∩B)
Experiment - CORRECT ANSWER An activity that has an observable result.