Recent content by relyt

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    Is f: R->R one-to-one and onto?

    Define f: R->R by the rule: f(w) = \left\{ \begin{array}{lr} -5, if x < 0\\ 0, if x=0\\ +5, if x > 0 \end{array} \right. if f onto and/or one-to-one? These questions always get me. Can someone please help me walk through this problem? What do I look for first, etc? those...
  2. R

    No Solution for 3x+2y=7 in Real Numbers

    Thanks, phreak. Yes, that is how it should read.
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    No Solution for 3x+2y=7 in Real Numbers

    Statement: (\exists_{x} \in R) (\forall_{y} \in R) (3x + 2y = 7) Trying to find negation statement. This is what I think it is: (\forall_{x} \in R)(\exists_{y} \in R) (3x + 2y ≠ 7) Is this close?
  4. R

    Counterexample: (u + v)^2 ≠ u2 + v2

    Now I'm really confused
  5. R

    Counterexample: (u + v)^2 ≠ u2 + v2

    Hey Hurkyl, I've tried a couple of things, but I know they are not right. Should I post them here anyway :(
  6. R

    Counterexample: (u + v)^2 ≠ u2 + v2

    Find a counterexample to the statement "For all real numbers u and v, (u + v)^2 is not equal to u2 + v2."
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