b Similar to part a If xy for every x y \u211a there exist a rational number w such

B similar to part a if xy for every x y ℚ there

This preview shows page 2 - 3 out of 3 pages.

b. Similar to part a. If x<y for every x, y ∈ ℚ, there exist a rational number w, such that ?
Image of page 2
Section 3.4 3) a. Since is dense in , there exist i ∈ℝ \ ; Therefore the interior is b. (0,5) c. Since ℚ is dense in ℝ the interior is ∅ d. Since ℚ is dense in ℝ the interior is ∅ e. {2}, Therefore the interior is 4) a. {0} b. {0,5} c. [0, √2 ] d.[ √2 , ) e. {2} 5) a. Neither b. Closed c. Neither d. Both e. Closed f) Open 9) a. Let 𝜀>0. Suppose that x∈ℝbe an accumulation point of S, then N*(x, 𝜀)∩ ? ≠ ∅. . b. Let x bd of S & x
Image of page 3

You've reached the end of your free preview.

Want to read all 3 pages?

  • Fall '08
  • Staff
  • Empty set, Supremum, Order theory, sup, infimum, sup S≤ sup

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture