carcass wrote:
I suppose that you have put in red my logic on stat 1 because not so clear.
Stat (1) : x > 1 or -x > 1.........x < -1
Stat (2) : x < x or -x > x.........x < -x
This is the logic that conduct me to say that the 2 stats are insufficient. I don't understand completely why in the 2 one |x| > x ........ x is < 0 ??'
I also read the topic that you suggested; your third reply is very helpful but the doubt remain on stat ( 2)
Thanks
OK. First of all: I marked "|x|<1" in red for (1), because you don't get that |x| < 1 from this statement. If it were so then then you'd have an YES answer right away (as the question asks exactly about the same thing "is |x|<1")
Next, "is \(|x|<1\)?" means "is \(-1<x<1\)?"
(1) x*|x|<x holds true in two cases for \(x<-1\) and \(0<x<1\):
-----(-1)----(0)----(1)----So as you can see this one is not sufficient to answer the question.
Hope it's clear.
Hi Bunuel, can x also be x>-1 for Statement 1? Coz when I sub in the values of (-1/2) or (-1/4), x satisfies the equation. But on your number line it is in black, which indicates x>-1 does not hold true. Please kindly enlighten me.
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