Write the Negations of the Following Statements : All Students of this College Live in the Hostel and 6 is an Even Number Or 36 is a Perfect Square. - Mathematics and Statistics
Write the negations of the following statements :
1) All students of this college live in the hostel
2) 6 is an even number or 36 is a perfect square.
1) p: All students of this college live in the hostel.
~ p: Some students of this college do not live in the hostel.
p: 6 is an even number.
q: 36 is a perfect square.
Symbolic form : p v q
∴ ~(p v q) ≡ ~p ∧ ~q
6 is not an even number and 36 is not a perfect square.
Concept: Mathematical Logic - Sentences and Statement in Logic
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