Let . Which one of the following statements is logically equivalent to…

MATHEMATICS · Single correct · A Level · Mathematics · Proof · Proof

Problem

Let S=¬(p∧(q∨r))S = \lnot\bigl(p \land (q \lor r)\bigr). Which one of the following statements is logically equivalent to SS? (a) ¬p∧¬q∧¬r\lnot p \land \lnot q \land \lnot r (b) (¬p∧¬q)∨r(\lnot p \land \lnot q) \lor r (c) ¬p∨(¬q∧¬r)\lnot p \lor (\lnot q \land \lnot r) (d) ¬p∨¬q∨¬r\lnot p \lor \lnot q \lor \lnot r

Related theory

Browse the problem library