#2**0 **

~~Either the (x-2)^2 or the (x+1) needs to be negative (but not both) for this equation to be true~~

~~ However, (x-2)^2 is always POSITIVE (or zero)~~

~~ so the (x+1) portion must be negative~~

~~ (x+1) <0~~

~~ x <-1~~

~~(-inf, -1)~~

**Disregard this answer..... I didn't see the leading 'x' of the equation !!!!!**

ElectricPavlov Nov 10, 2019

#4**+1 **

(x+2)^2 is always positive or zero, so it cannot make the answer <0

so either x+1 or x (but not BOTH) has to be less than zero for this equation to be true

x<0 or x+1<0

x<0 or x<-1 <====== so the only interval ONE of these is less than zero is ** (-1,0)**

ElectricPavlov Nov 10, 2019