Question: (a) If P = NP, then all problems in NP can be solved in polynomial time deterministically. (b) It is known that Satisfiability is NP-complete.

(a) If P = NP, then all problems in NP can be solved in polynomial time deterministically.
(b) It is known that Satisfiability is NP-complete.
Assume that an O(n⁷²⁴) deterministic algorithm has been found for the Satisfiability problem, then P = NP.
(c) If a decision problem A is NP-complete, proving that A is reducible to B,
in polynomial time, is sufficient to show that B is NP-complete.

Answer true or false WITH explaination.

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