Question

4.)

NSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.

Given the following premises:

1.	∼M ⊃ S
2.	∼M
3.	(M ∨ H) ∨ ∼S

	a.	M ∨ H                          3, Simp
	b.	M ∨ (H ∨ ∼S)              3, Assoc
	c.	∼S                               1, 2, MP
	d.	∼ M ∨ S                          1, Impl
	e.	H                                  2, 3, DS

3.)

NSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.

Given the following premises:

1.	G • ∼A
2.	K ⊃ (G • ∼A)
3.	G ⊃ M

	a.	M                           1, 3, MP
	b.	K ⊃ (∼A • G)         2, Com
	c.	(K ⊃ G) • ∼A         2, Assoc
	d.	(K ⊃ G ) ⊃ ∼A      2, Exp
	e.	K                           1, 2, MP

2.)

INSTRUCTIONS: Select the conclusion that follows in a single step from the given premises.

Given the following premises:

1.	~~A
2.	G ⊃ (A ⊃ ∼L)
3.	∼A ∨ ∼G

	a.	G                              1, 3, DS
	b.	(G ⊃ A) ⊃ ∼L             2, Assoc
	c.	∼L                               1, 2, MP
	d.	A ∨ G                          3, DN
	e.	G ⊃ (∼∼L ⊃ ~A)          2, Trans

Answer 1

Proof: C4) statement Reason NMoS Premise 2. N M Premi se 3. (MvH)VS premise Lt C), (), Modus Ponans nle 5 (3), (4), Disgunche Syl) MV H C2), C5), DS. Henco, H Ps the conclusion, Proof (3) S No Prerrise 2. Ko CG A) Premi se 3 Premise

(3), C4), MP os, M the Conclusion "folcut the given premises Proof (2) premise GCA premise 3 Premise (1), Double nogechor) C3), C4), DS C2), C3) M P. the Conclusion deuued Thos,, ~L toe given Prenses