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hap092002

sometimes true
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Answer:  The correct option is (B) sometimes.

Step-by-step explanation:  Given that p and q are statements such that p → q is true.

We are to select the correct option that gives the situations for being q → p true.

We know that

the truth table for p → q and  q → p is as follows :

p                      q                   p → q                       q → p  

T                      T                      T                             T

T                      F                      F                             T

F                      T                      T                             F

F                      F                      T                             T

Therefore, we can see that if  p → q   is true, then  q → p is sometimes true, not always.

Thus, the complete statement is

If p → q is true, then q → p is SOMETIMES true.

Option (B) is CORRECT.

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