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Math Help - need help, problem sect(1-3#17) "an introduction to analyssis"

  1. #1
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    need help, problem sect(1-3#17) "an introduction to analyssis"

    17. let a>1, and r a possitive irrational number. Let
    A={a^x|x is a positive rational number <r}
    B={a^x|x is a positive rational number >r}
    show that:
    a) the swet A is bounded above, and the set B is bounded below.
    b) if s belong to A and t to B, then s<t.
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  2. #2
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    Quote Originally Posted by mancillaj3 View Post
    17. let a>1, and r a possitive irrational number. Let
    A={a^x|x is a positive rational number <r}
    B={a^x|x is a positive rational number >r}
    show that:
    a) the swet A is bounded above, and the set B is bounded below.
    b) if s belong to A and t to B, then s<t.
    A good way to show that a set is bounded above is to show a number that is an upper bound! You know that x cannot be larger than r. What does that tell you about a^x?
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