WGU D412 Discrete Math (142
questions with answers) Western
Governors University
Correct 142
Incorrect 0
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1 of 142
Term
What is the logical equivalence of ¬(p ∧ q) ≡ ?
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-1, 0, A x B = { {a,1} , {a,0} , {b,1} , {b,0} }
1
(¬p ∧ ¬q) (¬p ∨ ¬q)
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2 of 142
Term
The only real numbers that satisfy |x| = x2 are what?
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-1, 0, 1 -2, 0, 2
-1, 1, 3 -2, -1, 0
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3 of 142
Term
Give DeMorgans Law for QUANTIFIED STATEMENTS
(there are 2 laws)
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or ∀x (¬p(x) ∧ ¬q(x))
q
, ¬∀xP(x) ≡ ∃x¬P(x)
¬∃xP(x) ≡ ∀x¬P(x)
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4 of 142
Term
A = { 2, 3, 5, 7, 14 }
{ 2 } ∈ P(A)
True or False
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{a, b, c, d, e, f, g}. Trail
False (The elements of P(A)
are all subsets of A. 2 is an True
element of A, which is
written as 2 ∈ A)
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5 of 142
Term
What is the notation for integers?
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, OR ℤ
∈ {}
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6 of 142
Term
Is the following statement true?For any two sets, X and Y,
if X ⊂ Y, then X ⊆ Y.
Yes
No
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Yes (If X ⊂ Y, then
True (the cardinality of F and
every element of X
E are the same)
is also an element
of Y, so X ⊆ Y.)
A x B = { {a,1} , {a,0} , {b,1} , {b,0} } No. X is not bound
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7 of 142
Term
questions with answers) Western
Governors University
Correct 142
Incorrect 0
Next steps
142 missed terms
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boost your
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confidence.
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Your answers
1 of 142
Term
What is the logical equivalence of ¬(p ∧ q) ≡ ?
Give this one a try later!
-1, 0, A x B = { {a,1} , {a,0} , {b,1} , {b,0} }
1
(¬p ∧ ¬q) (¬p ∨ ¬q)
, Don't know?
2 of 142
Term
The only real numbers that satisfy |x| = x2 are what?
Give this one a try later!
-1, 0, 1 -2, 0, 2
-1, 1, 3 -2, -1, 0
Don't know?
3 of 142
Term
Give DeMorgans Law for QUANTIFIED STATEMENTS
(there are 2 laws)
Give this one a try later!
or ∀x (¬p(x) ∧ ¬q(x))
q
, ¬∀xP(x) ≡ ∃x¬P(x)
¬∃xP(x) ≡ ∀x¬P(x)
Don't know?
4 of 142
Term
A = { 2, 3, 5, 7, 14 }
{ 2 } ∈ P(A)
True or False
Give this one a try later!
{a, b, c, d, e, f, g}. Trail
False (The elements of P(A)
are all subsets of A. 2 is an True
element of A, which is
written as 2 ∈ A)
Don't know?
5 of 142
Term
What is the notation for integers?
Give this one a try later!
, OR ℤ
∈ {}
Don't know?
6 of 142
Term
Is the following statement true?For any two sets, X and Y,
if X ⊂ Y, then X ⊆ Y.
Yes
No
Give this one a try later!
Yes (If X ⊂ Y, then
True (the cardinality of F and
every element of X
E are the same)
is also an element
of Y, so X ⊆ Y.)
A x B = { {a,1} , {a,0} , {b,1} , {b,0} } No. X is not bound
Don't know?
7 of 142
Term