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Katie Couric and Brooke Baldwin report international news if and only if Erica Hill and Norah O'Donnell cover political developments?

A.K =Katie Couric reports international news.
B.B =Brooke Baldwin reports international news.
C.E =Erica Hill covers political developments.
D.N =Norah O'Donnell covers political developments.

1 Answer

2 votes

Final answer:

The given statement can be represented using logical statements as follows: If Erica Hill and Norah O'Donnell cover political developments, then Katie Couric and Brooke Baldwin report international news.

Step-by-step explanation:

The given statement can be represented using logical statements as follows:

  • If Erica Hill covers political developments, then Katie Couric reports international news: C.E → A.K
  • If Erica Hill covers political developments, then Brooke Baldwin reports international news: C.E → B.B
  • Katie Couric and Brooke Baldwin report international news if and only if Erica Hill covers political developments: A.K ∧ B.B → C.E
  • Therefore, Katie Couric and Brooke Baldwin report international news if and only if Erica Hill and Norah O'Donnell cover political developments can be represented as: A.K ∧ B.B → C.E ∧ D.N

This can be read as: If Erica Hill and Norah O'Donnell cover political developments, then Katie Couric and Brooke Baldwin report international news.

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