Negation of the statement : $3+6>8$ and $2+3 < 6$ is

Negation of the statement : $3+6>8$ and $2+3 < 6$ is
  1. $3+6 \leq 8 \text { or } 2+3 < 6$
  2. $3+6 < 8 \text { or } 2+3 < 6$
  3. $3+6 \leq 8 \text { or } 2+3 \geq 6$
  4. $3+6>8 \text { or } 2+3 \geq 6$

Solution

Let $\mathrm{p}: 3+6>89$ and $\mathrm{q}: 2+3 < 6$ The logical form of given statement is $\mathrm{p} \wedge \mathrm{q}$. $\therefore-(\mathrm{p} \wedge \mathrm{q}) \equiv \sim \mathrm{p} \vee \sim \text { q i.e. } 3+6 \leq 8 \text { or } 2+3 \geq 6$

Asked in: MHT CET 2021 (23 Sep Shift 2)

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