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Math Help - Question concerning inequalities

  1. #1
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    Question concerning inequalities

    If x < y <= z, can we then state that x <= z? Is there a property that allows us to do this?

    (Where <= is less than or equal to)
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  2. #2
    Senior Member mollymcf2009's Avatar
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    Quote Originally Posted by emellok View Post
    If x < y <= z, can we then state that x <= z? Is there a property that allows us to do this?

    (Where <= is less than or equal to)

    If x is less than y then it CANNOT be equal to y, and since z is greater than or equal to y, z must be greater than x.
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  3. #3
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    About inequalities

    I know the inequality x<y<=z leads directly to x<z.
    However, in a proof can we use the argument for
    x
    therefore x or y.

    So I could have
    x < y <= z implies x < z
    therefore x <= z?
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