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The biconditional statement "p if and only if q" is equivalent to:a.p → qb.p ∧ qc.p ∨ qd.(p → q) ∧ (q → p)

Question

The biconditional statement "p if and only if q" is equivalent to:a.p → qb.p ∧ qc.p ∨ qd.(p → q) ∧ (q → p)

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Solution

The biconditional statement "p if and only if q" is equivalent to:

d. (p → q) ∧ (q → p)

This is because a biconditional statement is true when both p and q are true or when both p and q are false. This is equivalent to the conjunction of the conditional statements p → q and q → p.

Similar Questions

p → q is logically equivalent to ¬p ∧ q¬p ∨ q¬p ∨ ¬qp ∨ ¬q

p → q is logically equivalent to

Given Similar as Valid InferenceIf p, Then q   If ~q, Then ~pOnly If p, Then q If q, Then p If ~p, Then ~qUnless p, Then q If ~p, Then q If ~q, Then pEither p or q    If ~p, Then q   If ~q, Then p

¬P ∨ Q is equivalent to :Question 19Select one:a.¬(P∨Q)b.¬P ∧ ¬Qc.P → Q

(P→Q)∧(Q→R)=(P→R)

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