Question: In the following partial proof, what is the justification for line 9 ? 1. (R H) (S I) 2. (H L) (R S) 3. H

In the following partial proof, what is the justification for line 9 ?

1. (R H) (S I)

2. (H L) (R S)

3. H (K T)

4. H L / I M

5. H 3 Simp

6. L 4, 5 DS

7. H L 5, 6 Conj

8. R S 2, 7 MP

9. H I _______

a.

1, 8 CD

b.

9, Simp

c.

1, 8 MP

d.

9, 5 DS

e.

There is no justification; line 9 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 v T) H

d.

(F T) v H

e.

F v T H

  1. Select the correct translation for the following statement:

    Hertz runs a sale or both Avis buys new cars and Budget lowers rates.

    a.

    H A B

    b.

    H (A B)

    c.

    (H A) B

    d.

    H (A B)

    e.

    H A B

Select the correct translation for the following statement:

Continental buys planes unless neither Northwest improves service nor United lowers fares.

a.

C (N U)

b.

C (N U)

c.

C (N U)

d.

C (N U)

e.

(N U) C

Select the correct translation for the following statement:

Americans hiring pilots is a sufficient condition for both Deltas advertising a sale and Southwests expanding routes.

a.

(D S) A

b.

(D A) (S A)

c.

(D S) A

d.

A (D S)

e.

A (D S)

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