What is the contrapositive of the conditional statement? “The home team misses whenever it is drizzling?”a.If the home team wins, then it is not drizzlingb.If it is drizzling, then home team missesc.If the home team misses, then it is drizzlingd.If it is not drizzling, then the home team does not misses
Question
What is the contrapositive of the conditional statement? “The home team misses whenever it is drizzling?”a.If the home team wins, then it is not drizzlingb.If it is drizzling, then home team missesc.If the home team misses, then it is drizzlingd.If it is not drizzling, then the home team does not misses
Solution
The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion, and then interchanging the resulting negations.
The original statement is: "If it is drizzling, then the home team misses."
To form the contrapositive, we first negate both parts: "If it is not drizzling, then the home team does not miss."
Then we interchange them: "If the home team does not miss, then it is not drizzling."
So, the contrapositive of the statement “The home team misses whenever it is drizzling” is: "If the home team does not miss, then it is not drizzling."
This corresponds to option (a) "If the home team wins, then it is not drizzling" (assuming that not missing means winning).
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