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Basic Inverse Trigonometric Functions

The value of ...

Question

The value of $x$ for which $12 x - 6 < 0$ and $12 - 3 x < 0$

ϕ

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R

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R - {0}

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none of these

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Solution

The correct option is A $ϕ$
$12 x - 6 < 0 ⟹ x < \frac{1}{2}$
$12 - 3 x < 0 ⟹ x > 4$
$⟹ x \in ϕ$

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