If p≡ "It rains today", q≡ "I go to school", r≡ "I shall meet my friends"
What can be concluded from "If it rains I won't go to school, instead I will meet my friends." ?
A
r∧∼q⇒∼p
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B
q∨∼r⇒∼p
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C
p⇒q∧r
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D
p⇒q∨r
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Solution
The correct option is Bq∨∼r⇒∼p
p: It rains today. q: I go to school. r: I shall meet my friends.
The given statement can be expressed as p⇒(∼q∧r)
There is no such expression in options.
So, we check it's contra-positive, that is ∼[p⇒(∼q∧r)]
or, q∨∼r⇒∼p