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 statement claims that for all $n \in N$, $x^2+3x-10=0$. This is false because the equation depends on $x$ and is not true for all $x$, nor is it related to $n$. Thus, $S_3$ is False.Step $4$: Analyze $S_4$. For all $n \in N$, $n \ge 1$, so $n^2 \ge 1^2 = 1$. Thus, $S_4$ is True.Conclusion: Only $S_3$ is False.

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

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