True or False?
There exists $x$ such that $x^{2} < x$.
A. True
B. False

True or False?
There exists $x$ such that $x^{2} = (x+1)^{2}$.
A. True
B. False


True or False?
There exists $x$ such that $|x| < x$.
A. True
B. False


True or False?
There exists $x$ such that $|x| > x$.
A. True
B. False