Pls once show by giving an example..

R,+ is not cyclic

(Z,+) is the standard Infinite cyclic group we have ,if any other is Isomorphic to (Z,+) is also Cyclic group , here (R,+) is not isomorphic to Z soo it's not cyclic group , Q is I...

R,+ is not cyclic group

Both are non cyclic group because there does not exist a element which can general all set .

both are not cyclic groups.... these are infinite groups but not cyclic