For which of the following inequalities is x^2 - 2<-1
a. x<1
b. x<-1
c. x<0
d. -1<x<1
e. x<-1 or x>1
I solved the equation as
=> x^2 - 2 +1 <0
=> x^2 -1 <0
=> (x+1)(x-1) < 0
x+1 < 0 or x-1<0
x< -1 or x < 1
I am not sure what am I doing wrong
a. x<1
b. x<-1
c. x<0
d. -1<x<1
e. x<-1 or x>1
[Reveal] Spoiler:
d
I solved the equation as
=> x^2 - 2 +1 <0
=> x^2 -1 <0
=> (x+1)(x-1) < 0
x+1 < 0 or x-1<0
x< -1 or x < 1
I am not sure what am I doing wrong