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Déterminer l'ensemble des solutions d'une inéquation de la forme Q(x)>0, Q(x)<0, … où Q est une fonction homographique    ressource 3490

Déterminez l'ensemble des solutions de l'inéquation x + 7 9 x + 7 0 .

  ] - 7 ; - 7 9 [ TagBox[FormBox[RowBox[List["\[LeftDoubleBracket]", RowBox[List[RowBox[List["-", "7"]], ";", RowBox[List["-", FractionBox["7", "9"]]]]], "\[RightDoubleBracket]"]], TraditionalForm], DisplayForm]
  ] - ; - 7 ]  ∪  ] - 7 9 ; + [ TemplateBox[List[TagBox[FormBox[RowBox[List["\[LeftDoubleBracket]", RowBox[List[RowBox[List["-", "\[Infinity]"]], ";", RowBox[List["-", "7"]]]], "]"]], TraditionalForm], DisplayForm], "\"\[ThinSpace]\[Union]\[ThinSpace]\"", TagBox[FormBox[RowBox[List["\[LeftDoubleBracket]", RowBox[List[RowBox[List["-", FractionBox["7", "9"]]], ";", TagBox[RowBox[List["+", "\[Infinity]"]], HoldForm]]], "\[RightDoubleBracket]"]], TraditionalForm], DisplayForm]], "Row", Rule[DisplayFunction, Function[RowBox[List[Slot[1], "\[InvisibleSpace]", Slot[2], "\[InvisibleSpace]", Slot[3]]]]], Rule[InterpretationFunction, Function[RowBox[List["Row", "[", RowBox[List["{", RowBox[List[Slot[1], ",", Slot[2], ",", Slot[3]]], "}"]], "]"]]]]]
  ] - ; - 7 [  ∪  ] - 7 9 ; + [ TemplateBox[List[TagBox[FormBox[RowBox[List["\[LeftDoubleBracket]", RowBox[List[RowBox[List["-", "\[Infinity]"]], ";", RowBox[List["-", "7"]]]], "\[RightDoubleBracket]"]], TraditionalForm], DisplayForm], "\"\[ThinSpace]\[Union]\[ThinSpace]\"", TagBox[FormBox[RowBox[List["\[LeftDoubleBracket]", RowBox[List[RowBox[List["-", FractionBox["7", "9"]]], ";", TagBox[RowBox[List["+", "\[Infinity]"]], HoldForm]]], "\[RightDoubleBracket]"]], TraditionalForm], DisplayForm]], "Row", Rule[DisplayFunction, Function[RowBox[List[Slot[1], "\[InvisibleSpace]", Slot[2], "\[InvisibleSpace]", Slot[3]]]]], Rule[InterpretationFunction, Function[RowBox[List["Row", "[", RowBox[List["{", RowBox[List[Slot[1], ",", Slot[2], ",", Slot[3]]], "}"]], "]"]]]]]
  [ - 7 ; - 7 9 [ TagBox[FormBox[RowBox[List["[", RowBox[List[RowBox[List["-", "7"]], ";", RowBox[List["-", FractionBox["7", "9"]]]]], "\[RightDoubleBracket]"]], TraditionalForm], DisplayForm]