I f p i s f a l se an d q i s t r u e t h e n q ∗ p m u s t b e f a l se .
The **q p **will be false if p is **false **and q is **true **after applying the **conditional **statement operation.
What is the converse of a statement?
A **conditional **statement with the **antecedent **and effect reversed is known as a **converse **statement.
It is given that:
The two **conditional **statements are p and q:
p is false
q is true
"p q" represents **symbolically **"If p then q," where p stands for the hypothesis and q for the conclusion .
If p is **false **and q is **true **then q p will be false.
Thus, the **q p **will be false if p is **false **and q is **true **after applying the **conditional **statement operation.
Learn more about the **converse of a statement **here:
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The conditional statement q → p is false when p is false and q is true. This is because a true antecedent with a false consequent makes the conditional statement false. Therefore, the final answer is that q → p is false.
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