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Let p be "She is a tennis champion," and let q be "She is not very good." What statement is equivalent to the symbolic form p⟹∼q?Select the correct answer below:Her being a tennis champion implies that she is very good.Being a tennis champion is a necessary condition of being very good.If she is very good, then she is a tennis champion.She is a tennis champion only if she is very good

User They Call Me Trinity
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1 Answer

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15 votes

We know that

• p: She is a tennis champion.

,

• q: She is not very good.

It's important to know that the connector ⟹ refers to an implication so if we have the statement p⟹q it's read as "if p then q". The symbol ∼ refers to the negation of a statement, for example, if q means "she is not very good" then ∼q means "she is very good", so the symbol ∼ can be seen as the opposite meaning.

So, in this case, we have the statement p⟹∼q, which is read as "if she is a tennis champion then she is very good.

Therefore, the correct answer would be Her being a tennis champion implies that she is very good.

User Robert N
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