1. Rewrite the statements so that negations appear only within predicates (so that no negation is outside a quantifier or an expression involving logical connectives) ( -x (D(x) (A(x) \ M(x))) 2. Prove that the following expressions are logically equivalent by applying the laws of logic (1 (p/q) (pVq) and T 3. Use a truth table to show whether the logical expression is a tautology, contradiction or neither -(p-q)-p

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Rewrite the statements so that negations appear only within predicates (so that no negation
is outside a quantifier or an expression involving logical connectives) (1)
-Vx (D(x) (A(x) V M(x)))
2. Prove that the following expressions are logically equivalent by applying the laws of logic (1
(pq) (p V q) and T
3. Use a truth table to show whether the logical expression is a tautology, contradiction or neither
-(p→q) → p
Transcribed Image Text:1. Rewrite the statements so that negations appear only within predicates (so that no negation is outside a quantifier or an expression involving logical connectives) (1) -Vx (D(x) (A(x) V M(x))) 2. Prove that the following expressions are logically equivalent by applying the laws of logic (1 (pq) (p V q) and T 3. Use a truth table to show whether the logical expression is a tautology, contradiction or neither -(p→q) → p
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