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anonymous
 5 years ago
(2x)/x if x<0
anonymous
 5 years ago
(2x)/x if x<0

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watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1when x<0, x=x. So your expression is equal to 2(x)/x = 2.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i got that x<0 therefore x<0 x= x x =x 2x/x=2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x does not equal x. The x in the absolute value sign can equal x though. The absolute value sign will make the x positive. So your equation becomes: 2x/(x) = 2. < this takes into account x<0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok i dont understand anymore

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x<0 means that x is negative right? So just pretend x is positive and add the negative signs to the problem: 2x/(x) absolute value sign makes x positive: 2x/(x) > 2/(1) > 2

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1Shifty you just need to use the definition of absolute value: \[x=\begin{cases}x &\text{ if } x\geq 0\\ x&\text{ if } x<0\end{cases}\] Since \(x<0\) you may replace the \(x\) by \(x\).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0watchmath, you are wrong. The absolute value cannot be replaced by a negative. The variable inside the absolute value can be negative, but the outcome would be positive.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Nevermind watchmath, I see what you did. But you didn't fully explain it correctly.

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1So how the full explanation looks like?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0watch is right if you plug in a number less than 0 x=x a negative times a negative is positive so x is actually positve

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0the above is assuming x<0

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.02<0 2=(2)=2 see?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That's where watchmath's explanation was lacking. watchmath: "when x<0, x=x. So your expression is equal to 2(x)/x = 2" watchmath made the absolute value x rather than (x). Unless he/she canceled out negatives from the numerator and denominator.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0... I'm assuming you already took into account that x<0 when you made this equation:2(x)/x = 2 But if you did, you're missing a x in the denominator unless you are just implying that x is negative and leaving it as x. But in this case it just causes more confusion for the original poster. I find that people find it easier to work with positive numbers rather than negative numbers.
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