7
AssignmentMultiple Choice

Compound Statements

Question 7 • RMA FL-1206310-Geometry Semester 1

If p ↔ q is true, which compound statement has the same truth value?

Answer
A
p → q is false and q → p is true.
B
p → q is false and q → p is false.
C
p → q is true and q → p is false.
D
p → q is true and q → p is true.

Explanation

A biconditional, p ↔ q, is true when p and q have the same truth value. In that case, each implication is true: p → q and q → p. So the matching statement is “p → q is true and q → p is true.”

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