Recent content by ranga519

  1. ranga519

    MHB What Comparison Sign To Assert f^(-1)(f(A))? A True?

    [FONT=arial] Let f be a function from a set X to a set Y, moreover, A ⊆ X. What comparison sign canput instead? to assert "f ^(−1) (f(A)) ? A" [FONT=arial]become true? (Possible signs of comparison in this : ⊆, ⊇, =. It is necessary to take into account all options. f ^(−1) - inverse of...
  2. ranga519

    MHB Proving that solutions of a equation are irrational

    how to prove that solutions of the following equation are irrational x^3 + x + 1 = 0
  3. ranga519

    MHB How to Solve ∛(7+5√2) - ∛(5√2-7) for Junior Olympiad?

    Thank you very much for the help, I find this website really helpful.
  4. ranga519

    MHB How to Solve ∛(7+5√2) - ∛(5√2-7) for Junior Olympiad?

    Hi,I'm new to this website. This a question i came across in a junior Olympiad paper.Need help solving it.Thanks ∛(7+5√2) - ∛(5√2-7)