Groups and FieldsHardGroups and the Group Axioms ShareGroups and the Group Axioms · Hard problemHow many of these seven are groups? (Z,+)(\mathbb Z,+)(Z,+); (Z,×)(\mathbb Z,\times)(Z,×); (Q,×)(\mathbb Q,\times)(Q,×); (Q∖{0},×)(\mathbb Q\setminus\{0\},\times)(Q∖{0},×); (R+,×)(\mathbb R^+,\times)(R+,×); (Z, a∗b=a+b+1)(\mathbb Z,\,a*b=a+b+1)(Z,a∗b=a+b+1); (N,+)(\mathbb N,+)(N,+) with N={0,1,2,…}\mathbb N=\{0,1,2,\ldots\}N={0,1,2,…}.Check Show answer Walk through it step by step Practice more like this Review this concept