Inequality[Pi/2, Less, ArcSec[x], LessEqual, Pi] /; x <= -1 && Element[x, Reals]

Cell[BoxData[RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], "<", RowBox[List["ArcSec", "[", "x", "]"]], "\[LessEqual]", "\[Pi]"]], "/;", RowBox[List[RowBox[List["x", "\[LessEqual]", RowBox[List["-", "1"]]]], "\[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> <mfrac> <mi> &#960; </mi> <mn> 2 </mn> </mfrac> <mo> &lt; </mo> <mrow> <msup> <mi> sec </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mo> &#8804; </mo> <mi> &#960; </mi> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> x </mi> <mo> &#8804; </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </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> <ci> Inequality </ci> <apply> <times /> <pi /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <lt /> <apply> <arcsec /> <ci> x </ci> </apply> <leq /> <pi /> </apply> <apply> <and /> <apply> <leq /> <ci> x </ci> <cn type='integer'> -1 </cn> </apply> <apply> <in /> <ci> x </ci> <reals /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List[FractionBox["\[Pi]", "2"], "<", RowBox[List["ArcSec", "[", "x", "]"]], "\[LessEqual]", "\[Pi]"]], "/;", RowBox[List[RowBox[List["x", "\[LessEqual]", RowBox[List["-", "1"]]]], "&&", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]

2001-10-29