Mathematics · Real Numbers
Which of the following statements is true regarding real numbers and natural numbers?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If x is a real number and a is a positive real number, then there exists a natural number N such that N < ax for all N.
- 2If x is a real number and a is a positive real number, then there exists a natural number N such that N > ax.✓
- 3There exists a real number x such that N < x for every natural number N.
- 4There exists a natural number N such that x < N for every real number x.
Correct answer
If x is a real number and a is a positive real number, then there exists a natural number N such that N > ax.
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