Identify the type of statement using the hierarchy of connectives, and rewrite using parentheses to indicate
Order.

Question

Quizplus · Accepted Answer

The statement can be rewritten with parentheses as: (((A>B)∧(B>C))∨(C=D))
This indicates that the hierarchy of connectives is: 
1. > (implies)
2. ∧ (and)
3. ∨ (or)
Therefore, the correct choice is B, which lists the connectives in the correct order. B is a conjunction statement as it begins with "and". The statement can be rewritten as (A and B) or (B and A), indicating that the order of A and B does not matter in the overall statement.

A is a disjunction statement as it begins with "either...or", but it cannot be rewritten using parentheses without changing its meaning.

C is a conditional statement as it begins with "if...then". The statement can be rewritten as (if A, then B), indicating that A is the antecedent and B is the consequent.

D is a biconditional statement as it begins with "if and only if". The statement can be rewritten as (A if and only if B), indicating that A and B are equivalent statements.

Identify the Type of Statement Using the Hierarchy of Connectives