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Consider the following simple statements: p: Your shirt is tucked into your pants. q: Your pants are tucked into your shirt.What is the symbolic form of the statement: "If your shirt isn't tucked into your pants then your pants are tucked into your shirt."Select the correct answer below:∼q⟹p∼q⟹∼pp⟹∼q∼p⟹q

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SOLUTION

We are asked the symbolic form of "If your shirt isn't tucked into your pants then your pants are tucked into your shirt."

This simply means the negation of p implies q.

p implies q is represented as p⟹q

Then the negation of p implies q will be ∼p⟹q.

Therefore, the correct answer is ∼p⟹q

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