Solve 1st: ∣x−9∣≤ −1 , 2nd: ∣10x+1∣> −4


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Question Number 178600 by Acem last updated on 18/Oct/22

$S o l v e 1 s t : ∣ x - 9 ∣⩽ - 1, 2 n d : ∣ 10 x + 1 ∣> - 4$
	Answered by Acem last updated on 19/Oct/22

	$1 s t : I m p o s s i b l e$ $2 n d : x \in R$
	Answered by Rasheed.Sindhi last updated on 19/Oct/22

	$1)$ $∣ x - 9 ∣⩽ - 1 C o n t r a d i c t t o t h e d e f i n i t i o n .$ $2)$ $∣ 10 x + 1 ∣> - 4$ $\Rightarrow ∣ 10 x + 1 ∣⩾ 0$ $\Rightarrow x ⩾ - \frac{1}{10} A ns$
	Commented by mr W last updated on 19/Oct/22

	$∣ 10 x + 1 ∣ i s a l w a y s ⩾ 0 > - 4, s o x c a n$ $b e a n y v a l u e \in R .$
	Commented by Rasheed.Sindhi last updated on 19/Oct/22

	$S o r r y f o r m y m i s t a k e s i r!$
	Commented by Acem last updated on 19/Oct/22

	$M y f r i e n d, e v e n i f t h e q u s e t i o n w a s s o l v i n g$ $∣ 10 x + 1 ∣⩾ 0, i t h a s t w o s e p a r e t e d s o l u t i o n s n o t o n l y o n e$ $E i t h e r x ⩾ \frac{- 1}{10} o r x ⩽ \frac{- 1}{10}$
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