Question

If Christina Aguilera's singing soul and Justin Timberlake's singing pop are sufficient and necessary conditions for Kelly Clarkson's singing rock, then neither Beyonce nor Shakira will sing rap?

A.C =Christina Aguilera sings soul.
B.J =Justin Timberlake sings pop.
C.K =Kelly Clarkson sings rock.
D.B =Beyoncè will sing rap.
E.S =Shakira will sing rap.

Answer 1

The question asks to apply logical reasoning to deduce the relationship between various conditions of singers performing different genres, implying a chain of causation.

Step-by-step explanation:

The question involves using logical reasoning to determine the relations between various conditions. According to the statement, Christina Aguilera singing soul (A.C) and Justin Timberlake singing pop (B.J) are both sufficient and necessary conditions for Kelly Clarkson singing rock (C.K). If A.C and B.J occur, then C.K must occur, and vice versa. If C.K is true, it implies that A.C and B.J are also true. The statement then suggests that if these conditions are met, neither Beyoncè nor Shakira will sing rap, which is represented as neither D.B nor E.S being true. To summarize, the logical expression could be represented as: if A.C and B.J, then C.K, and if C.K, then not D.B and not E.S.