2. Write negations of the following conditional statements: - (p→q) = pn~q (a) Vne Z,ifn divisible by 2 then n is divisible by 2. (b) VxeR, if x(x+1) >0 then x>0 or x<-1 Write the contrapositive of the conditional statements: contrapositive( p →q)=-q 3. p VneZ,ifn divisible by 2 then n is divisible by 2. (a) (b) VxeR, if x(x+1) >0 then x>0 or xr<-1 Use a truth table to determine if the expression is a tautology or a contradiction. 4. (~p^g)^(qar))a~q

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Write negations of the following conditional statements: - (p→q) = pn~q
(a) Vne Z,ifn divisible by 2 then n is divisible by 2.
(b) VxeR, if x(x+1) >0 then x>0 or x<-1
Write the contrapositive of the conditional statements: contrapositive( p →q)=-q
3.
p
VneZ,ifn divisible by 2 then n is divisible by 2.
(a)
(b) VxeR, if x(x+1) >0 then x>0 or xr<-1
Use a truth table to determine if the expression is a tautology or a contradiction.
4.
(~p^g)^(qar))a~q
Transcribed Image Text:2. Write negations of the following conditional statements: - (p→q) = pn~q (a) Vne Z,ifn divisible by 2 then n is divisible by 2. (b) VxeR, if x(x+1) >0 then x>0 or x<-1 Write the contrapositive of the conditional statements: contrapositive( p →q)=-q 3. p VneZ,ifn divisible by 2 then n is divisible by 2. (a) (b) VxeR, if x(x+1) >0 then x>0 or xr<-1 Use a truth table to determine if the expression is a tautology or a contradiction. 4. (~p^g)^(qar))a~q
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