Mathematics · Abstract Algebra
Which one of the following mathematical structures forms a group?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(ℝ, *), where a * b = a|b| for all a, b ∈ ℝ
- 2(ℝ, *), where a * b = a + b + 1 for all a, b ∈ ℝ✓
- 3(ℤ, *), where a * b = a - b for all a, b ∈ ℤ
- 4(ℕ, *), where a * b = a for all a, b ∈ ℕ
Correct answer
(ℝ, *), where a * b = a + b + 1 for all a, b ∈ ℝ
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