(15%) Answer True or False for the following statements and also justify your reasons.

(1) (3%) If an NP-complete problem can be reduced to a problem $L$ in polynomial time, then $L$ is NP-complete.

(2) (3%) If a problem $A$ can be reduced to a problem $B$ and $A \in P$, then $B \in P$.

(3) (3%) If a problem $A \in P$, then $A \in NP$.