If |z| < 1, which of the following statements must be true? Indicate

Indicate all such statements.

z^{2} ≤ 1

z^{2} ≤ z

z^{3} ≤ z

I dont understand why the last one isn’t true as well as if z is 0.5 or -0.5 then z^{3} would be < z

If |z| < 1, which of the following statements must be true? Indicate

Indicate all such statements.

z^{2} ≤ 1

z^{2} ≤ z

z^{3} ≤ z

I dont understand why the last one isn’t true as well as if z is 0.5 or -0.5 then z^{3} would be < z

Are you sure on the z = -0.5 case?