Question

If Heineken's being balanced implies that either Sierra is hearty or Alaskan is not sweet, then Miller's being zesty is a sufficient and necessary condition for Coors's being smooth. Let H = Heineken is balanced, S = Sierra is hearty, A = Alaskan is sweet, M = Miller is zesty, and C- Coors is smooth

a. [H (SVA)]> [M=C]
b. (H=S) V~A> [MC]
c. [(HS)~A] > [M=C]
d.none of these
e. (H=S) V~[(AM) > C

Answer 1

The correct conditional relationship representation between the given statements is [H (SVA)]> [M=C]. correct answer is option a. [H (SVA)]> [M=C]

Step-by-step explanation:

The question is asking us to determine which statement represents the conditional relationship between the given statements using the given variables. Let's analyze each option:

1. [H (SVA)]> [M=C]: This statement represents the conditional relationship correctly. It states that if Heineken is balanced, then either Sierra is hearty or Alaskan is not sweet, which implies that Miller being zesty is a sufficient condition for Coors being smooth.
2. (H=S) V~A> [MC]: This statement does not represent the correct conditional relationship between the given statements.
3. [(HS)~A] > [M=C]: This statement does not represent the correct conditional relationship between the given statements.
4. None of these: This option is incorrect as the first statement is correct.
5. (H=S) V~[(AM) > C]: This statement does not correctly represent the conditional relationship between the given statements.

Therefore, the correct answer is option a. [H (SVA)]> [M=C]