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

always

sometimes

never

User Meallhour
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2 Answers

4 votes
sometimes true
I hope this helped
User Bilesh Ganguly
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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.

User Geompalik
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