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Question: Answered & Verified by Expert
Negation of the statement : $3+6>8$ and $2+3 < 6$ is
MathematicsMathematical ReasoningMHT CETMHT CET 2021 (23 Sep Shift 2)
Options:
  • A $3+6 \leq 8 \text { or } 2+3 < 6$
  • B $3+6 < 8 \text { or } 2+3 < 6$
  • C $3+6 \leq 8 \text { or } 2+3 \geq 6$
  • D $3+6>8 \text { or } 2+3 \geq 6$
Solution:
2717 Upvotes Verified Answer
The correct answer is: $3+6 \leq 8 \text { or } 2+3 \geq 6$
Let $\mathrm{p}: 3+6>89$ and $\mathrm{q}: 2+3 < 6$
The logical form of given statement is $\mathrm{p} \wedge \mathrm{q}$.
$$
\therefore-(\mathrm{p} \wedge \mathrm{q}) \equiv \sim \mathrm{p} \vee \sim \text { q i.e. } 3+6 \leq 8 \text { or } 2+3 \geq 6
$$

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