Question

If $p\equiv$ "It rains today", $q\equiv$ "I go to school", $r\equiv$ "I shall meet my friends"
$p\Rightarrow \sim q$ is equivalent to

• A. I will not go to school.
  
• B. I won't go to school if it doesn't rain.
  
• C. If it doesn't rain, I go to school.
  
• D. If I went to school, it didn't rain.

Answer 1

The correct option is D If I went to school, it didn't rain.

$p\Rightarrow \sim q$ can be expressed as
"If it rains today then I won't go to school."
As this is not in the options, we check its contra-positive.
"If I went to school, it didn't rain."