simplify the following expression if x<0 ∣4x−(√((3x−1)^2 ))∣


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Question Number 55296 by Otchere Abdullai last updated on 20/Feb/19

$s i m p l i f y t h e f o l l o w i n g e x p r e s s i o n i f$ $x < 0$ $∣ 4 x - \sqrt{{(3 x - 1)}^{2}} ∣$
	Answered by mr W last updated on 20/Feb/19

	$w i t h x < 0$ $\Rightarrow 3 x - 1 < 0$ $\Rightarrow 7 x - 1 < 0$ $∣ 4 x - \sqrt{{(3 x - 1)}^{2}} ∣$ $=∣ 4 x - ∣ 3 x - 1 ∣∣$ $=∣ 4 x - (1 - 3 x) ∣$ $=∣ 7 x - 1 ∣$ $= 1 - 7 x$
	Commented by Otchere Abdullai last updated on 20/Feb/19

	$T h a n k Y o u p r o f W$
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