Let (G,+) be a group. A nonempty subset H of G is a subgroup of G if and only if for all a, b ∈ H, the element?
- a + b ∈ G
- a - b ∈ H
- a + (-b) ∈ H
- ab ∈ G
Explanation
- The correct answer is: a + (-b) ∈ H.
- A nonempty subset H of G is a subgroup of G if and only if it is closed under the group operation + and contains the inverse of each of its elements.
Related MCQs
سری لنکا کا دارالحکومت ہے
- Forty-eight minus x equals seven x
- Forty-eight plus x equals seven x
- Forty-eight minus seven x equals x
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 2x² + 4 = 9x
- 2x² + 9 = 4x
- 2x² + 9 = 4x
- x² + 4 = 9x
اس سوال کو وضاحت کے ساتھ پڑھیں
