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Write the negation of "If Rishi is neith...

Write the negation of `"If Rishi is neither honest nor just then he is rich"`

A

Rishi is neither honest nor just and he is not rich

B

Rishi is either honest or just and he is rich

C

Rishi is either honest nor just and he is not rich

D

Rishi is neither honest and just or he is not rich

Text Solution

AI Generated Solution

The correct Answer is:
To find the negation of the statement "If Rishi is neither honest nor just, then he is rich," we can follow these steps: ### Step 1: Identify the components of the statement The given statement is of the form "If P, then Q," where: - P: "Rishi is neither honest nor just" - Q: "Rishi is rich" ### Step 2: Write the negation of the implication The negation of an implication "If P, then Q" is given by "P and not Q." This means that we need to state that P is true while Q is false. ### Step 3: Formulate the negation Using the identified components: - P: "Rishi is neither honest nor just" - Not Q: "Rishi is not rich" Combining these, the negation of the original statement is: "Rishi is neither honest nor just and Rishi is not rich." ### Final Answer The negation of the statement "If Rishi is neither honest nor just, then he is rich" is: **"Rishi is neither honest nor just and Rishi is not rich."** ---
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