Csch[x] > Sech[x]/x /; x > 0 && Element[x, Reals]

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Csch", "[", "x", "]"]], ">", FractionBox[RowBox[List["Sech", "[", "x", "]"]], "x"]]], "/;", RowBox[List[RowBox[List["x", ">", "0"]], "\[And]", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <mi> csch </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mo> &gt; </mo> <mfrac> <mrow> <mi> sech </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mi> x </mi> </mfrac> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> x </mi> <mo> &gt; </mo> <mn> 0 </mn> </mrow> <mo> &#8743; </mo> <mrow> <mi> x </mi> <mo> &#8712; </mo> <semantics> <mi> &#8477; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalR]&quot;, Function[Reals]] </annotation> </semantics> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <gt /> <apply> <csch /> <ci> x </ci> </apply> <apply> <times /> <apply> <sech /> <ci> x </ci> </apply> <apply> <power /> <ci> x </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <and /> <apply> <gt /> <ci> x </ci> <cn type='integer'> 0 </cn> </apply> <apply> <in /> <ci> x </ci> <reals /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Csch", "[", "x", "]"]], ">", FractionBox[RowBox[List["Sech", "[", "x", "]"]], "x"]]], "/;", RowBox[List[RowBox[List["x", ">", "0"]], "&&", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]

2007-05-02