Using quantifier the open sentence 'x^2-4=32' defined on W in con… - Vidyadip

MCQ

Using quantifier the open sentence '$x^2-4=32$' defined on W in converted into true statement as

A
$\forall x \in W, x^2-4=32$
B
$\exists x \in W$, such that $x^2-4 \leq 32$
C
$\forall x \in W, x^2-4>32$
✓
$\exists x \in W$, such that $x^2-4=32$

✓

Answer

Correct option: D.

$\exists x \in W$, such that $x^2-4=32$

(D)
Option (D) is the required true statement, since $x=6 \in W$ satisfies $x^2-4=32$

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