Maths · Relations, type of relations, equivalence relations

In which of the following cases, is true?

In which of the following cases, \( \boldsymbol{p} \Leftrightarrow \boldsymbol{q} \) is true?

  • A. p is true, q is true
  • B. p is false, q is true
  • C. p is true, q is false.
  • D. None of these.

Step-by-step solution

The biconditional p ⇔ q is true only when p and q have the same truth value. Among the options, only A (both true) satisfies this condition.
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