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Math Help - Inequalities

  1. #1
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    Inequalities

    How do we prove this expression?
    x>0, y>0, z>0

    x/y + y/z >= 2

    I tried expanding, xz + y^2 >= 2yz

    I see that if x = z, this expression is true, from x^2 + y^2 >= 2xy,
    but how do we phrase that?
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  2. #2
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    Am I misreading this ?

    \frac{100}{101}+\frac{101}{102}, (for example) is not greater than or equal to 2.
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  3. #3
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    Hm... i gues question is wrong then. Thxs
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