Question

question 1 of 10
if the statement \if it is midnight, then the sun is not shining\ is assumed to be true, is its reverse, \if the sun is not shining, then it is midnight,\ also always true?

a. no

b. yes

Explanation:

The original statement is a conditional "If \( p \) (it is midnight), then \( q \) (the sun is not shining)". The reverse is "If \( q \), then \( p \)", which is the converse of the original conditional. A conditional and its converse are not logically equivalent. For example, the sun not shining could be due to cloudy weather, night (but not midnight), etc. So the converse isn't always true.

Answer:

A. No