Mathematics · Real Analysis
Which of the following statements is FALSE about the field of real numbers &mathbb{R}?
- 1(&mathbb{R}, +, ×) is a field under usual addition and multiplication.
- 2Every real number has a multiplicative inverse.✓
- 3&mathbb{R} is an ordered set.
- 4Every non-empty bounded above subset of &mathbb{R} has a supremum in &mathbb{R}.
Correct answer
Every real number has a multiplicative inverse.
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