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Exercise 1.1 · Q31

Q.If the statements p, q are true statements and r, s are false statements, determine the truth value of the following: (p→q)∨(r→s)(p \rightarrow q) \lor (r \rightarrow s)

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Given p=T,q=T,r=F,s=Fp=T, q=T, r=F, s=F.

p→q=T→T=Tp \rightarrow q = T \rightarrow T = T.

r→s=F→F=Tr \rightarrow s = F \rightarrow F = T (false antecedent makes it vacuously true). …

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