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Select the conclusion that follows in a single step from the given premises.
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Question 1INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.~~N2.K >~N3.~N v (K · S)
Question 1 options:
(~N v K) · S 3, Assoc
K 1, 2, MT
N > ~K 2, Trans
K · S 1, 3, DS
(~N · K) v (~N · S) 3, Dist
Question 2
INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.(S > R) > (J > T)2.(P > R) > (S > R)3.R > J
Question 2 options:
(P > R) > (J > T) 1, 2, HS
S > J 1, 3, HS
P > J 2, 3, HS
(S > R) · (P > R) 1, 2, Conj
R > T 1, 3, HS
Save Question 3INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.Q > (H · L)2.H > ~Q3.L > ~Q
Question 3 options:
(Q > H) > L 1, Exp
L > (H · L) 1, 3, HS
Q > ~Q 1, 3, HS
H > L 2, 3, HS
(L > ~Q) · (H > ~Q) 2, 3, Conj
Question 4INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.F > J2.A > (F · J)3.A · (Q v N)
Question 4 options:
J > F 1, Com
A · (N v Q) 3, Com
A > J 1, 2, HS
(A > F) · (A > J) 2, Dist
(A · Q) v N 3, Assoc
Question 5INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.~D v ~T2.D v (~T ·~R)3.D
Question 5 options:
(D v ~T) · (D v ~R) 2, Dist
(D v ~T) · R 2, Assoc
D v T 1, DN
~T 1, 3, DS
~T ·~R 2, 3, DS
Question 6INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.K v ~H2.(K v ~H) > (B > J)3.J > D
Question 6 options:
H > K 1, Impl
B > D 2, 3, HS
K 1, Simp
D > J 3, Trans
B > J 1, 2, MP
Question 7INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.~T > E2.~K > (~T v ~T)3.M > (~K v ~L)
Question 7 options:
(M > ~K) v L 3, Assoc
M > (K > ~L) 3, Impl
M > (K v L) 3, DN
~K > T 2, Taut
~K > E 1, 2, HS
Question 8INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.(F ·~M) > (L ·~G)2.P > L3.~(L ·~G)
Question 8 options:
~(F ·~M) 1, 3, MT
~L 3, Simp
~P 2, 3, MT
~L v G 3, DM
L > P 2, Trans
Question 9INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.S > (~~T ·~~C)2.(S · Q) v C3.~C
Question 9 options:
S 2, Simp
S > (T · C) 1, DN
S > ~~T 1, Simp
S > (T ·~~C) 1, DN
S · Q 2, 3, DS
Question 10INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.R > (~B > F)2.~U > B3.~B
Question 10 options:
F 1, 3, MP
(R > ~B) > F 1, Assoc
R > (~F > ~~B) 1, Trans
U 2, 3, MT
~B > U 2, Trans
Question 11INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.
Given the following premises:
1.T v S2.A > T3.A · (~T · S)
Question 11 options:
~T 3, Simp
(A ·~T) · S 3, Assoc
T 2, 3, MP
T > A 2, Com
S 1, 3, DS
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