Question

Use De Morgan's law to select the statement that is equivalent to: "It is not true that the employee received a large bonus and has a big office."

a. The employee received a big bonus or has a big office.
b. The employee did not receive a big bonus and does not have a big office.
c. The employee did not receivę a big bonus or does not have a big office.
d. The employee received a big bonus and has a big office

Answer 1

c. The employee did not receive a big bonus or does not have a big office.

Explanation:

From the original statement, "It is not true that the employee received a large bonus and has a big office.", it can be concluded that the employee either has a big office, received a large bonus or neither. That is, either one, the other, or neither conditions are met.

Applying De Morgan's law:

a. This leaves out the possibility that both conditions are not met

b. This only considers that both conditions are not met

c. This statement means that one of the conditions are not met, which is correct.

d. This assumes both conditions are true, which is incorrect.