Using quantifier the open sentence ' x^2>0 ' defined on N is conv… - Vidyadip

MCQ

Using quantifier the open sentence ' $x^2>0$ ' defined on N is converted into true statement as

✓
$\forall x \in \mathrm{~N}, x^2>0$
B
$\forall x \in N, x^2=0$
C
$\exists x \in N$, such that $x^2<0$
D
$\exists x \notin N$, such that $x^2<0$

✓

Answer

Correct option: A.

$\forall x \in \mathrm{~N}, x^2>0$

(A)
Option (A) is the true statement, since square of every natural number is positive.

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