For the statement p and q, consider the following compound statements:
B. {(pvq)^-p} → q
Then which of the following statement is correct:
(i) A is a tautology but not B
(ii) A and B both are not tautologies
(iii) A and B both are tautologies
(iv) B is a tautology but not A
We will analyze the given compound statements manually to determine whether they are tautologies. ### Step 1: Understanding the Statements #### Statement A: \[ \{\neg q \land (p \rightarrow q)\} \rightarrow \neg p \] - Implication Transformation: \( p \rightarrow q \) is equivalent to \( \neg p \lor q \). - Rewrite A: \[ (\neg q \land (\neg _________ ________ ______ ___ ____ ______.
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If x,y,z be respectively the pth, qth and rth term of G.P., then evaluate
(q-r) logx + (r-p) logy + (p-q) logz
If the universal set is U = {1,2,3,4,5,6,7,9,10) and A= {2,3,6,7}, B= {4,6,8,9}, C= {6,7,8} are the subsets of U, then verify
a) De-Morgan's Laws
b) Left distributive law
Evaluate
The numbers a,b and c are between 2 and 18, such that, (i) their sum is 25, (ii) the number 2, a and b are consecutive terms of an A.P. and (iii) the number b,c and 18 are consecutive terms of a G.P. Find the values of a,b,c.
b)