Question

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I am having trouble solving this 5-part practice problem. I would greatly appreciate any and all help that you could lend! Thanks in advance!

In the following proof, what is the justification for line 7?

1.     [(W ⊃ X) ⊃ Y] ∨ ( P ≡ Q)

2.     ∼X • ∼Y

3.     ∼(P ≡ Q) / ∴ ∼W

4.     ∼X                  2 Simp

5.     ∼Y                  2 Simp

6.     (W ⊃ X) ⊃ Y      1, 3 DS

                                                7.   ∼ (W ⊃ X)      ______

	a.	1, 4 MT
	b.	1, 5 DS
	c.	6, 4 MT
	d.	6, 5 MT
	e.	There is no justification; line 7 is a mistake

Select the correct translation for the following statement:

Either Fiat improves mileage and Toyota closes a factory or Honda reduces inventory.

     

	a.	F • (T v H)
	b.	F • T v H
	c.	(F vT) • H
	d.	(F • T) v H
	e.	F v T • H

Select the correct translation for the following statement:

If Chrysler increases sales, then it is not the case that both Mercedes introduces a new model and Nissan lays off workers.

	a.	C ⊃(~M • ~N)
	b.	(C ⊃~M) • N
	c.	C ⊃ ∼M • ~N
	d.	C ⊃  ~(M • N)
	e.	~(M • N) ⊃ C

Select the correct translation for the following statement:

Delta advertises a sale and either United lowers fares or American hires pilots.

	a.	D • (U ∨ A)
	b.	D ∨ (U • A)
	c.	D • U ∨ A
	d.	(D • U) ∨ A
	e.	D ∨ (U • A)

Given that A and B are true and X and Y are false, determine the truth values of the propositions in the following problem:

[(A v ∼B) ∨ (X ⊃ Y)] • [(Y ⊃ A) ⊃ ∼(X ∨ B)]

True

False

Answer 1

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