The contrapositive of the statement p (q r) is

Step-by-step solution

The contrapositive of the statement p (q r) is obtained by first recognizing that a disjunction A B is logically equivalent to the conditional A B . Applying this equivalence with A = p and B = q r , the expression becomes ( p) (q r) , which simplifies to p (q r) . For any conditional statement X Y , the contrapositive is Y X . Substituting X = p and Y = q r yields (q r) p . De Morgan's Law provides that (q r) q ( r) , and since ( r) r , this simplifies to q r . Substituting back, the contrapositive is ( q r) p . A