3. Let L1, L2, L3 and L4 be regular languages over E accepted by DFAs M1 (Q1,2,51,s1,A), My-G2,2, 2,s1 ,A2), Mfg-Q3,2,53,s3,Ag), and M4-C4, ,5,,s4,A4) respectively. (a) Describe a DFA M = (Q, ,5, s, A) in terms of M, ,M2, M3 and M, that accepts L = (L1-L2) n L4UL3). Formally specify the components Q,6,s, and A for M in terms of the components of M1, M2,M3,M4 (b) Prove by induction that your construction is correct