Solve ((2x)/(x+1))≥ 3


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Question Number 178595 by Acem last updated on 18/Oct/22

$S o l v e \frac{2 x}{x + 1} ⩾ 3$
	Answered by Acem last updated on 19/Oct/22

	$T h e s a f e s t a n d s u r e s t w a y t o a v o i d m a k i n g$ $m e n t a l m i s t a k e s :$ $\frac{2 x}{x + 1} - 3 ⩾ 0 \Leftrightarrow \frac{- x - 3}{x + 1} ⩾ 0$ $\Leftrightarrow \frac{x^{A l w a y s t r y i t a s p o s i t i v e} + 3}{x + 1} ⩽ 0$ $x - \infty - 3 - 1 + \infty$ $x + 3 - 0 + +$ $x + 1 - - 0 +$ $F r a c . + 0 - ∥ +$ $\Rightarrow x \in [- 3, - 1 [$
	Commented by Acem last updated on 18/Oct/22

	$\frac{a}{b} \frac{a}{⇛ m a k e i t a s y o u r o p p o n e n t t h a t y o u m u s t n o t f o r g e t}$
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