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Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition?

“We won the first game and lost the second”

(1) A B (2) A B (3) A B (4) A B

(5) A B (6) A B (7) A B C (8) A B C

(9) A B C (0) A B C

Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition?

“We won at least one of our first two games.”

(1) A B (2) A B (3) A B (4) A B

(5) A B (6) A B (7) A B C (8) A B C

(9) A B C (0) A B C

Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition?

“We lost the first game and won the second.”

(1) A B (2) A B (3) A B (4) A B

(5) A B (6) A B (7) A B C (8) A B C

(9) A B C (0) A B C

Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition?

“We didn’t win either of our first two games.”

(1) A B (2) A B (3) A B (4) A B

(5) A B (6) A B (7) A B C (8) A B C

(9) A B C (10) A B C

Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition?

“We won both our first two games but we still aren’t first in the league.”

(1) A B (2) A B (3) A B (4) A B

(5) A B (6) A B (7) A B C (8) A B C

(9) A B C (0) A B C

Let A = we won the first game, B = we won the second game, and C = we are first in the league. The following sentence translates symbolically to which proposition?

“We’re first in the league but we didn’t win either of our first two games.”

(1) A B (2) A B (3) A B (4) A B

(5) A B (6) A B (7) A B C (8) A B C

(9) A B C (0) A B C