記憶度
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問題一覧
1
It is represented by ", which means “FOR ALL”
∀
2
What is the Negation of this expression ∃xP(x)
∀x ¬P(x)
3
It is a quantifier that appears within the scope of another quantifier
Nested Quantifier
4
It is a well-defined and an unordered collection/aggregate of objects of any kind; the objects are referred as elements, or members of the set
Set
5
It is also known as the propositional function or open sentence
Predicate Logic
6
Are sets denoted by upper case/capital letters
True
7
What does this venn diagram represent?
Set Compliment
8
Let the DOMAIN of x and y be real numbers P(x,y) denotes "x + y = 0" What is the truth value of the ∃x∃yP(x,y)
True
9
The formula for number of proper subsets of a set with n elements is
2^n - 1
10
Let P(x,y) be the statement "x hates y" The DOMAIN of both x and y consists of all the people in the world ∃x∀yP(x,y) What is the English translation of these Quantifiers?
There is someone who hates everyone.
11
Let P (x,y) be the statement “Student x has taken class y”, where the domain for x consists of ALL STUDENTS and y consists of ALL COMPUTER ENGINEERING COURSES at your school ∀x∀yP(x,y) What is the correct English expression of this Nested Quantifier?
All Students has taken every computer engineering course.
12
It is a set contained in a larger set or in an equal set
Subset
13
Let P(x,y) be the statement "x hates y" The DOMAIN of both x and y consists of all the people in the world ∀x∃yP(x,y) What is the English translation of these Quantifiers?
For everyone, everyone hates someone.
14
For all real numbers x, there exists a real number y such that x + y = 5. Which is the correct expression of this sentence as a Nested quantifier?
∀x∃yP(x,y)
15
The objects in a set are referred as ______, or members of the set
elements
16
It is an element/object for which P(x) is FALSE
Counterexample
17
It is represented by $, which means “THERE EXISTS”
∃
18
Let P(x,y) be the statement "x hates y" The DOMAIN of both x and y consists of all the people in the world ∃x∃yP(x,y) What is the English translation of these Quantifiers?
Someone hates them.
19
It expresses the extent to which a predicate P is TRUE (or FALSE) for ALL possible values in the universe of discourse or for SOME value(s) in the universe of discourse
Quantifiers
20
What is the union of sets A = {1, 2, 3} and B = {3, 4, 5}?
A. {1, 2, 3, 4, 5}
21
What is the complement of set A = {1, 2, 3, 4} in the universal set U = {1, 2, 3, 4, 5}?
B. {5}
22
It is the set that contains all elements relevant to a particular discussion or problem
Universal Set
23
What does this venn diagram represent?
Set Union
24
{cats,dogs,...,pigs,cows} Is an example of?
Finite Set
25
Let P(x) denote the statement “x – 3 > 5”. What is the truth value if P(2)
False
26
A = {9, 2, 7, -3}, B = {7, 9, -3, 2} Is an example of?
Set Equality
27
The number of elements in a set are NOT COUNTABLE
Infinite Set
28
What does this venn diagram represent?
Symmetric Difference
29
Let the DOMAIN of x and y be real numbers P(x,y) denotes "x + y = 0" What is the truth value of the ∃x∀yP(x,y)
False
30
For every real number x and for every real number y, x + y = 5. Which is the correct expression of this sentence as a Nested quantifier?
∀x∀yP(x,y)
31
What does this venn diagram represent?
Set Intersection
32
Which Statement is TRUE about the domain of discourse
It is the set from which the value of the subject x may be chosen for a given P(x)
33
It states that the two (2) given sets are identical, if and only if they contain EXACTLY THE SAME elements
Set Equality
34
The objects in a set are referred as ______, or members of the set
elements
35
Let the DOMAIN of x and y be real numbers P(x,y) denotes "x + y = 0" What is the truth value of ∀x∀yP(x,y)
False
36
The number of elements in a set are COUNTABLE
Finite Set
37
What is the Negation of this expression ∀x∀yP(x,y)
∃x∃y ¬P(x,y)
38
If A = {1, 2, 3, 4, 5} and B = {3, 4}, what is A - B (set difference)?
{1 ,2, 5}
39
Which statement is FALSE about Predicte Logic
It is commanding statement
40
Let a ternary predicate Q(x, y, z) denote the statement “x + y = z”. What is the truth value if Q(25,25,50);
True
41
There exists a real number x and a real number y such that x + y = 5. Which is the correct expression of this sentence as a Nested quantifier?
∃x∃yP(x,y)
42
Given sets A = {1, 2, 3} and B = {2, 3, 4}, find the intersection of A and B.
B. {2, 3}
43
What does this venn diagram represent?
Set Difference
44
Determine whether set A is a subset of set B A = {rain, snow, sleet} B = { rain, snow, sleet, hail }
True
45
There exists real numbers x, for all real numbers y such that x + y = 5. Which is the correct expression of this sentence as a Nested quantifier?
∃x∀yP(x,y)
46
Let P(x,y) be the statement "x hates y" The DOMAIN of both x and y consists of all the people in the world ∀x∀yP(x,y) What is the English translation of these Quantifiers?
Everyone hates everyone.
47
If A = {1, 2, 3} and B = {3, 4, 5}, what is the symmetric difference of sets A and B?
A {1, 2, 4, 5}
48
Let the DOMAIN of x and y be real numbers P(x,y) denotes "x + y = 0" What is the truth value of the ∀x∃yP(x,y)
True
49
{...0,1,2,3,4} Is an example of?
Infinite Set
50
Let Q(x) denote the statement “x is an integer”. What ie the truth value of Q(8/2)
True
51
The formula for number of subsets of a set with n elements is
2^n
52
It is a subset that is not equal to the set it belongs to
Proper Subset