(a) Prove that |R| = |R Z2|.

(b) Prove that |R| = |R Z|.

Please prove a and b with a way thats provided in the image below:

If XY and IX?IY, then IX = 11 Thus, to show 1X1=14l, it is enough to find 1 an injective function Xoy and a surjective function Xy OR an injective function xy and , an injective function Y>X OR a surjective function Xy and a surjective function Yox {@