formal logic

Question 1

if A, then B

Answer 1

if A –> B

Question 2

all C are D

Answer 2

if C–> D

Question 3

every E is F

Answer 3

if E –> F

Question 4

if G, then not H

Answer 4

if G –> ‘H

Question 5

no I are J

Answer 5

if I –> ‘J

Question 6

only K are L

Answer 6

if L –> K

Question 7

M only if N

Answer 7

if M –> N

Question 8

the only O are P

Answer 8

if O –> P

Question 9

no Q unless R

Answer 9

if Q –> R

Question 10

S unless T

Answer 10

if ‘S –> T

Question 11

no U without V

Answer 11

if U –> V

Question 12

without W, no X

Answer 12

if X –> W

Question 13

Y if, but only if, Z

Answer 13

if Y –> Z

if Z –> Y

Question 14

AA if, and only if, BB

Answer 14

if AA –> BB

if BB –> AA

Question 15

if CC, then neither DD nor EE

Answer 15

if CC –> ‘DD AND ‘EE

Question 16

FF if GG

Answer 16

GG –> FF

Question 17

HH is always II

Answer 17

if HH –> II

Question 18

if A then B

if B then C

Answer 18

if A –> B –> C

if A –> C

Question 19

if D then E

if F then E

Answer 19

if D or F –> E

Question 20

if G then H

if G then I

Answer 20

if G –> H or I

Question 21

no C are D

Answer 21

C –> ‘D

Question 22

A prerequisite for B

Answer 22

B –> A

Question 23

if A and B, then C

if A but not B, what happens to C?

Answer 23

C is still possible but not necessarily required

Question 24

minimum

Answer 24

‘X –> Y
(could have both)
you must have at least one

Question 25

maximum

Answer 25

X –> ‘Y
(could have neither)
reduces the number of terms by at least one