NCERT Miscellaneous Exercise Q2 - Sets
Question: State true or false, giving a proof or counterexample: (i) if x belongs to A and A belongs to B, then x belongs to B; (ii) if A is a subset of B and B belongs to C, then A belongs to C; (iii) if A is a subset of B and B is a subset of C, then A is a subset of C; (iv) if A is not a subset of B and B is not a subset of C, then A is not a subset of C; (v) if x belongs to A and A is not a subset of B, then x belongs to B; (vi) if A is a subset of B and x does not belong to B, then x does not belo...
Answer: (i) False; (ii) False; (iii) True; (iv) False; (v) False; (vi) True.
Full step-by-step NCERT solution with diagrams on Something by Zero.