Biconditionals

Question 1

Alan attends the meeting if but only if Chris attends the meeting.

Answer 1

A C

/A /C

Question 2

Alan or Chris goes to the park, but not both.

Answer 2

/A C

A /C

Question 3

Alan goes to the park if Chris goes to the park, but not otherwise.

Answer 3

A C

/A /C

Question 4

Alan goes to the park everyday except the days Chris goes to the park.

Answer 4

A /C

/A C

Question 5

A B

/A /B

Answer 5

Always together, never apart

Question 6

/A B

A /B

Answer 6

Always apart, never together

Question 7

Sufficient Satisfied

Answer 7

Rule triggers, necessary must be satisfied

Question 8

Sufficient Failed

Answer 8

Rule irrelevant, necessary free to satisfy or fail

Question 9

Necessary Failed

Answer 9

Rule triggers, sufficient must be failed

Question 10

Necessary Satisfied

Answer 10

Rule Irrelevant, necessary free to satisfy or fail