WGU C960 DISCRETE MATH II EXAM
SCRIPT VERIFIED QUESTIONS WITH
ACCURATE ANSWERS
●● non-neg intergers are represented by
Answer: N = {0, 1, ...}
●● positive numbers are represented by
Answer: Z+ = {1,2,...}
●● let a and b be integers. we say that a is divisible by b provided
Answer: b | a. meaning a/b = an integer. also say b divides a, b is a factor
of a, or b is a divisor of a
●● what does b | a mean
Answer: that a is divisible by b so there is some c so that bc=a
●● an integer is called even provided it is ...
Answer: divisible by 2. so a is even provided there is an integer c so that
2c=a
●● an integer a is called odd provided
,Answer: there is an integer x such that a=2x+1
●● an integer p is called prime provided
Answer: p>1 and the only positive divisors of p are 1 & p
●● is 1 prime
Answer: no
●● a positive integer a is called composite provided
Answer: there is an integer b such that 1 < b<a and b | a
●● how to read b | a
Answer: b divides a
●● is 1 composite
Answer: No. 1 is neither composite or prime.
●● what are theorems?
Answer: statements that can be proven
●● What is a lemma?
Answer: a premise accepted as true in an argument
, ●● what is a corollary?
Answer: A statement that follows an already-proven statement also
known as a theorem.
●● what is a conjecture?
Answer: an unproven statement that is based on observations and
believed to be true but cant prove it
●● what does "If then B" mean
Answer: that whenever A is true B must also be true; A -> B; A implies
B
●● what does A -> B mean
Answer: A implies B
●● "A if and only if B" means that either
Answer: both A and B are true or both are false
A -> B and B-> A
●● what does "and" mean
Answer: both are true
SCRIPT VERIFIED QUESTIONS WITH
ACCURATE ANSWERS
●● non-neg intergers are represented by
Answer: N = {0, 1, ...}
●● positive numbers are represented by
Answer: Z+ = {1,2,...}
●● let a and b be integers. we say that a is divisible by b provided
Answer: b | a. meaning a/b = an integer. also say b divides a, b is a factor
of a, or b is a divisor of a
●● what does b | a mean
Answer: that a is divisible by b so there is some c so that bc=a
●● an integer is called even provided it is ...
Answer: divisible by 2. so a is even provided there is an integer c so that
2c=a
●● an integer a is called odd provided
,Answer: there is an integer x such that a=2x+1
●● an integer p is called prime provided
Answer: p>1 and the only positive divisors of p are 1 & p
●● is 1 prime
Answer: no
●● a positive integer a is called composite provided
Answer: there is an integer b such that 1 < b<a and b | a
●● how to read b | a
Answer: b divides a
●● is 1 composite
Answer: No. 1 is neither composite or prime.
●● what are theorems?
Answer: statements that can be proven
●● What is a lemma?
Answer: a premise accepted as true in an argument
, ●● what is a corollary?
Answer: A statement that follows an already-proven statement also
known as a theorem.
●● what is a conjecture?
Answer: an unproven statement that is based on observations and
believed to be true but cant prove it
●● what does "If then B" mean
Answer: that whenever A is true B must also be true; A -> B; A implies
B
●● what does A -> B mean
Answer: A implies B
●● "A if and only if B" means that either
Answer: both A and B are true or both are false
A -> B and B-> A
●● what does "and" mean
Answer: both are true
