Which of the following statements is/are Fals | vedclass

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(C) Step $1$: Analyze $S_1$. For $n=1$, $n^2+n+2 = 1+1+2 = 4$, which is divisible by $4$. Thus, $S_1$ is True.Step $2$: Analyze $S_2$. For $x=1$, $1-1

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Only $S_3$.

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(C) Step $1$: Analyze $S_1$. For $n=1$, $n^2+n+2 = 1+1+2 = 4$, which is divisible by $4$. Thus, $S_1$ is True.Step $2$: Analyze $S_2$. For $x=1$, $1-17 = -16 Step $3$: Analyze $S_3$. The equation $n^2+3n-10 = 0$ factors to $(n+5)(n-2) = 0$, giving $n=2$ or $n=-5$. Since $n \in N$, it is only true for $n=2$, not for all $n \in N$. Thus, $S_3$ is False.Step $4$: Analyze $S_4$. For all $n \in N$ $(n \ge 1)$, $n^2 \ge 1$ is always true. Thus, $S_4$ is True.Conclusion: Only $S_3$ is False.

Which of the following statements is/are False?
$S_1 : \exists n \in N$, such that $n^2 + n + 2$ is divisible by $4$.
$S_2 : \exists x \in N$, such that $x - 17 < 20$.
$S_3 : \forall n \in N, n^2 + 3n - 10 = 0$.
$S_4 : \forall n \in N, n^2 \ge 1$.

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Which of the following statements is/are False?$S_1 : \exists n \in N$, such that $n^2 + n + 2$ is divisible by $4$.$S_2 : \exists x \in N$, such that $x - 17 < 20$.$S_3 : \forall n \in N, n^2 + 3n - 10 = 0$.$S_4 : \forall n \in N, n^2 \ge 1$.