The correct option is B x ϵ (3,∞) |x 3|={ x 3, amp; x ≥ 3 3 x, amp; x lt;3 . ∴ |x 3|/x 3=1 gt;0, x gt;3 The function is not defined at x = 3. ...

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Domain

If |x-3|/x-3>...

Question

If $\frac{| x - 3 |}{x - 3} > 0$ , then

$x ϵ (- 3, \infty)$

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$x ϵ (3, \infty)$

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$x ϵ [- 3, \infty)$

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$x ϵ [3, \infty)$

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Solution

The correct option is B
$x ϵ (3, \infty)$

$| x - 3 | = {\begin{matrix} x - 3, & x \geq 3 3 - x, & x < 3 \end{matrix}$

$∴ \frac{| x - 3 |}{x - 3} = 1 > 0, x > 3$

The function is not defined at x = 3.

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