Maths · Relations, type of relations, equivalence relations
Which of the following is NOT equivalent to
Which of the following is NOT equivalent to \( \boldsymbol{p} \rightarrow \boldsymbol{q} ? \)
- A. ponly if q
- B. q is necessary for \( p \)
- C. q only if \( p \)
- D. p is sufficient for \( q \)
Step-by-step solution
The implication p → q is logically equivalent to 'p only if q', 'q is necessary for p', and 'p is sufficient for q'. 'q only if p' means q → p, which is the converse and not equivalent.
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