Does anyone have any help with these questions?

(2) Let X be a space and let A be a subspace of X. Let i : A -> X be the

inclusion map. True or false: The induced homomorphism i* : Pi1(A) -> Pi1(X)

must be injective.(Justify your answer by providing either a proof or a

counterexample.)

(3) Let G be a finitely generated abelian group. Using the previous problem

(or otherwise), construct a space X whose fundamental group is isomorphic

to G.