If p≡ "It rains today", q≡ "I go to school", r≡ "I shall meet my friends" What can be concluded from "I will go to school and meet my friends if it doesn't rain today"?
A
∼p⇒(q∧r)
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B
∼p⇒(q∨r)
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C
q∧r⇒p
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D
q∨r⇒p
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Solution
The correct option is A∼p⇒(q∧r) p: It rains today. q: I go to school. r: I shall meet my friends. The given statement can be expressed as : "If it doesn't rain today, then I will go to school and meet my friends." This can be expressed mathematically as: ∼p⇒(q∧r)