Question

Mariah Carey sings pop and either Elton John sings rock or Diana Krall sings jazz.

Option 1: M and (E or D).
Option 2: M and E and D.
Option 3: M or (E and D).
Option 4: M or E or D.

Answer 1

The correct logical statement for the given scenario is Option 1: M and (E or D), which accurately reflects Mariah Carey's genre and the condition involving Elton John or Diana Krall.

Step-by-step explanation:

The student's question involves determining the correct logical statement that represents the given scenario involving Mariah Carey, Elton John, and Diana Krall's musical genres. The statement must reflect the scenario accurately.

The correct option that represents the scenario "Mariah Carey sings pop and either Elton John sings rock or Diana Krall sings jazz" is Option 1: M and (E or D). This means Mariah Carey (M) definitely sings pop, and either Elton John (E) sings rock or Diana Krall (D) sings jazz, not necessarily both. This is consistent with the use of the logical "and" operator combined with the logical "or" operator reflecting the structure of the statement provided.