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Question: Answered & Verified by Expert
Negation is " $2+3=5$ and $8 \lt 10$ " is
MathematicsMathematical ReasoningJEE Main
Options:
  • A $2+3 \neq 5$ and $ \lt 10$
  • B $2+3=5$ and $8 \nless 10$
  • C $2+3 \neq 5$ or $8 \nless 10$
  • D None of these
Solution:
2598 Upvotes Verified Answer
The correct answer is: $2+3 \neq 5$ or $8 \nless 10$
Let $p: 2+3=5, q: 8 \lt 10$
Given proposition is : $p \wedge q$
Its negation is $\sim(p \wedge q)=\sim p \vee \sim q$
$\therefore$ we have $2+3 \neq 5$ or $8 \nless 10$.

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