4t ESO/4.05 INEQUACIONS/4.05.1 Inequacions de 1r grau amb 1 incògnita 4.05.1.21Q ax+b+cx+dINFex+f+gx+h CANVI DE SENTIT Resoleu
#a·x - #b + #c·x + #d #t1 #e·x + #f + #g·x - #h

Format de la resposta: x<-2/3 (SIMPLIFICADA)

]]> 1.0000000 0.3333333 0 0 #r_11]]> <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol 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xmlns="http://www.w3.org/1998/Math/MathML"><ms><</ms></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>41</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>29</mn><mo><</mo><mn>46</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>13</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>e2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>5</mn><mo>*</mo><mi>x</mi><mo><</mo><mn>16</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r_11</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>></mo><mo>-</mo><mfrac><mn>16</mn><mn>5</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>r</mi><mo>_</mo><mn>11</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Es tracta de sumar els monomis de grau 0 i els de grau 1 per separat, a cada banda del signe < .
A l'esquerra
el coeficient de la x serà #a + #c
i el terme independent -#b + #d
A la dreta
el coeficient de la x serà #e + #g
i el terme independent #f - #h.

I l'equació s'escriu #e1

]]> Per resoldre a partir de #e1, sumem o restem per tal de deixar totes les x a l'esquerra i tots els termes independents a la dreta:

#q #a2·x als dos costats
#k #b2 als dos costat

I ens queda #e2

Recordeu que cal canviar el sentit de la inequació si es divideix per un nombre negatiu.

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