Hi everyone, I found some inequalities problems that I have no idea how to solve. There aren't any answers online or any working, so I've got no idea how to approach these. All of these are multi-choice and I'll list the possible answers below (except from the first one). It would be great if someone could jot down a bit of working out to some of these questions!

I'm 99% sure that the answer is "all values of x satisfy this expression" just from plugging in a bunch of numbers, but I can't prove it, so any working out/explanation would be amazing.

The expression -1 <

1-x2

1+x2< 1 is satisfied by what values of x?

The inequality:

x2- 2x + 1

x2 + x + 1> 0

is equivalent to

a) x>1

b) x is not equal to 1

c) x<0

d) x>0

e) x<1

Thanks again