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Negation of the conditional ''If it rain...

Negation of the conditional ''If it rains, I shall go to school'' is

A

It rains and I shall go to school

B

It rains and I shall not go to school

C

It does not rains and I shall go to school

D

None of the above

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The correct Answer is:
To find the negation of the conditional statement "If it rains, I shall go to school," we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Components of the Conditional Statement:** - Let \( P \) represent "It rains." - Let \( Q \) represent "I shall go to school." 2. **Express the Conditional Statement:** - The conditional statement can be expressed as \( P \rightarrow Q \), which reads as "If \( P \), then \( Q \)." 3. **Understand the Negation of a Conditional Statement:** - The negation of the conditional statement \( P \rightarrow Q \) is expressed as \( P \land \neg Q \). This means "It rains and I do not go to school." 4. **Write the Negation in Words:** - Therefore, the negation of the statement "If it rains, I shall go to school" is "It rains and I shall not go to school." ### Final Answer: The negation of the conditional "If it rains, I shall go to school" is: "It rains and I shall not go to school." ---
To find the negation of the conditional statement "If it rains, I shall go to school," we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Components of the Conditional Statement:** - Let \( P \) represent "It rains." - Let \( Q \) represent "I shall go to school." ...
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