1.) Consider the following statement:

Sam is an orange belt and Kate is a red belt.

Use De Morgans Laws to write the negation.

A. Sam is not an orange belt or Kate is not a red belt

B. Sam is not an orange belt and Kate is not a red belt

C. Sam is an orange belt or Kate is a red belt

D. Sam is an orange belt and Kate is not a red belt

2.)Consider the following statement:

The units digit of 4^67 is 4 or it is 6.

Use De Morgans Laws to write the negation.

A. The units digit of 4^67 is 4 and it is not 6.

B. The units digit of 4^67 is not 4 and it is not 6.

C. The units digit of 4^67 is not 4 and it is 6.

D. The units digit of 4^67 is 4 and it is 6.

3.)Convert the following sentence into formal logic.

John is not wealthy but he is healthy and wise

s: John is wise

h: John is healthy

w: John is wealthy

Which of the following is the correct form?

A. (wh)s

B. w(hs)

C. (sh)w

D. (sw)h

4.)Convert the following sentence into formal logic.

John is neither wealthy nor wise, but he is healthy

s: John is wise

h: John is healthy

w: John is wealthy

Which of the following is the correct form?

A. (ws)h

B. (wh)s

C. (sh)w

D. (sw)h