If x is any real number- then -x-4 is defined for

Given: x is any real number. To find: Value of x for which the expression √([[x]] 4) is defined. ⇒ [[x]] 4≥ 0 ⇒ [[x]]≥ 4 ⇒ [x]≥ 4 ⇒ x≥ 4 or x∈ [4, ∞) ...

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If x is any r...

Question

If $x$ is any real number, then $\sqrt{[[x]] - 4}$ is defined for

x \in (3, \infty)

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x \in [4, \infty)

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x \in (3, 4)

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Solution

The correct option is B $x \in [4, \infty)$
Given: $x$ is any real number.
To find: Value of $x$ for which the expression $\sqrt{[[x]] - 4}$ is defined.
$\Rightarrow [[x]] - 4 \geq 0 \Rightarrow [[x]] \geq 4 \Rightarrow [x] \geq 4$
$\Rightarrow x \geq 4 or x \in [4, \infty)$

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If x is any real number, then √[[x]]−4 is defined for

The correct option is B x∈[4,∞)Given: x is any real number. To find: Value of x for which the expression √[[x]]−4 is defined. ⇒[[x]]−4≥0⇒[[x]]≥4⇒[x]≥4 ⇒x≥4 or x∈[4,∞)

If $x$ is any real number, then $\sqrt{[[x]] - 4}$ is defined for

The correct option is B $x \in [4, \infty)$
Given: $x$ is any real number.
To find: Value of $x$ for which the expression $\sqrt{[[x]] - 4}$ is defined.
$\Rightarrow [[x]] - 4 \geq 0 \Rightarrow [[x]] \geq 4 \Rightarrow [x] \geq 4$
$\Rightarrow x \geq 4 or x \in [4, \infty)$