Which of the following quantified statement is false? - Vidyadip

MCQ

Which of the following quantified statement is false?

A
$\exists x \in N$, such that $x+5 \leq 6$
B
$\forall x \in \mathrm{~N}, x^2 \not \leq 0$
✓
$\exists x \in \mathrm{~N}$, such that $x-1<0$
D
$\exists x \in \mathrm{~N}$, such that $x^2-3 x+2=0$

✓

Answer

Correct option: C.

$\exists x \in \mathrm{~N}$, such that $x-1<0$

(C)
Option (C) is false, since for every natural number the statement $x-1 \geq 0$ is always true.

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