## MSMR 4 years ago A number x is 2 more than the product of its reciprocal and its additive inverse. In what interval does the number lie?

1. anonymous

$x+2=\frac{1}{x}\times (-x)$

2. anonymous

$x+2=1$ $x=-1$

3. Xishem

$x=(-x)(\frac{1}{x})+2$You have it backwards, I believe, satellite.

4. MSMR

would the interval be $-2<x \le0$?

5. Xishem

$x=-1+2=1$1 is two more than -1*(1/1).

6. MSMR

oh, if satellite had it backwards that would make sense. The interval would have to be $0<x \le2$

7. MSMR

right?

8. Xishem

The number lies in an infinite number of different intervals. $-1290 \le x \le 2$$0.99999 \le x \le 4$The question isn't specific to what interval it wants. Your answer works, though.

9. MSMR

it's a multiple choice question so it was the only one that worked. thank you! I'm studying for the AMC 10 and it's not fun. :(