Precal Question?
1+2x / x-1 => 1
Intuition says that the answer is all real numbers except for one, but im having trouble showing this…
Favorite Answer
Try putting ONE in X… you get zero for the denominator which makes the left side undefined.
Solve the related equation:
(1+2x)/(x-1) = 1
by multiplying both sides by (x-1). You’ll eventually get x= -2 (a vertical line crossing x=-2)
That makes -2 and 1 being the ‘critical’ number. You have to use 5 test points to prove which ones are correct range of numbers.
Test cases are:
x < -2 (pick something like x = -10) x = -2 -2 < x < 1 (zero sounds good) x = 1 (which you already know won't work) x > 1 (how about 10?)
Be aware though, more than one test point *may* prove to satisify the original inequality.
(1+ 2x / x-1) – 1 => 0
Find the LCD…
[1+2x – (x-1)] / (x-1) => 0
(1+2x-x+1) / (x-1) => 0
x+2 / x-1 => 0
Use the sign table…
critical points would definitely be -2 and 1..
I bet you already know how to use the sign table so there’s no need for me to show it in here..
i got x <= -2 & x>1..
^_^
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