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Answer to Question #50188 in Discrete Mathematics for Sajid Mehmood
Question #50188
Without using truth table prove that (p→q)ᴧ(q→r)→(p→r) is a tautology
Expert's answer
To make it false
The right side must be false, so (p = T, r = F).
To make the lift side true, so p q must be true since (p=t)so (q =t) and
q r must be true, since (r=f) so (q = f).
So we cannot make it false so it is a tautology.
The right side must be false, so (p = T, r = F).
To make the lift side true, so p q must be true since (p=t)so (q =t) and
q r must be true, since (r=f) so (q = f).
So we cannot make it false so it is a tautology.
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