Inéquations et intervalles

a =

b =

Nouvelle question

-6 \; x\geqslant-2\text{    ou }-6 \; x\leqslant-38

Valider cette réponse

Juste

Faux

RAZ

\text{Donnez une ou deux des valeurs a et b puis cliquez sur l'un des 12 ensembles ci-dessous pour compléter la réponse.}

\left]-\infty\,;\, \frac{ 4 }{ 3 } \right[

Voir la réponse

\text{Mathématiques à Valin}

Commencer la série d'exercices

Inéquations et intervalles niveau 2

ChampTexte1 = Textfield(textea)
ChampTexte2 = Textfield(texteb)
a = NaN
b = NaN
vua = If(Defined[a], matha, "a")
texte3: "\left]-\infty\,;\," + (LaTeX[vua]) + "\right]"
vub = If(Defined[b], mathb, "b")
texte4: "\left]-\infty\,;\," + (LaTeX[vua]) + " \right["
texte5: "\left[" + (LaTeX[vua]) + "\,;\,+\infty\right["
texte6: "\left]" + (LaTeX[vua]) + "\,;\,+\infty\right["
texte8: "\left[" + (LaTeX[vua]) + "\,;\," + (LaTeX[vub]) + "\right]"
texte9: "\left[" + (LaTeX[vua]) + "\,;\," + (LaTeX[vub]) + "\right["
texte10: "\left]" + (LaTeX[vua]) + "\,;\," + (LaTeX[vub]) + "\right]"
texte11: "\left]" + (LaTeX[vua]) + "\,;\," + (LaTeX[vub]) + "\right["
texte7: "\left]-\infty\,;\," + (LaTeX[vua]) + "\right[\;\cup\;\left]" + (LaTeX[vub]) + "\,;\,+\infty\right["
texte12: "\left]-\infty\,;\," + (LaTeX[vua]) + " \right]\;\cup\;\left]" + (LaTeX[vub]) + " \,;\,+\infty\right["
texte14: "\left]-\infty\,;\," + (LaTeX[vua]) + " \right]\;\cup\;\left[" + (LaTeX[vub]) + " \,;\,+\infty\right["
repa = 0.3333333333333333
repb = 6.333333333333333
numa = 2
dena = 6
amplitude = 6
texte1 = SurdText(repa)
texte2 = SurdText(repb)
cas = 12
f(x) = (dena * x)
numb: (repb * dena)
tcas1a: "" + (LaTeX[f]) + "\leqslant " + (LaTeX[numa]) + "\text{   et   }" + (LaTeX[f]) + "<" + (LaTeX[numb]) + ""
mnuma: (-numa)
mnumb: (-numb)
tcas1b: "-" + (LaTeX[f]) + "\geqslant" + (LaTeX[mnuma]) + "\text{   et  }-" + (LaTeX[f]) + ">" + (LaTeX[mnumb]) + ""
tcas3a: "" + (LaTeX[f]) + "\geqslant" + (LaTeX[numa]) + "\text{   ou   }" + (LaTeX[f]) + ">" + (LaTeX[numb]) + ""
tcas3b: "-" + (LaTeX[f]) + "\leqslant" + (LaTeX[mnuma]) + "\text{    ou  }-" + (LaTeX[f]) + "<" + (LaTeX[mnumb]) + ""
tcas4a: "" + (LaTeX[f]) + ">" + (LaTeX[numa]) + "\text{   ou   }" + (LaTeX[f]) + "\geqslant" + (LaTeX[numb]) + ""
tcas4b: "-" + (LaTeX[f]) + "<" + (LaTeX[mnuma]) + "\text{   ou  }-" + (LaTeX[f]) + "\leqslant " + (LaTeX[mnumb]) + ""
tcas5a: "" + (LaTeX[f]) + "\geqslant" + (LaTeX[numa]) + "\text{   et    }" + (LaTeX[f]) + "\leqslant" + (LaTeX[numb]) + ""
tcas5b: "-" + (LaTeX[f]) + "\geqslant" + (LaTeX[mnumb]) + "\text{   et  }-" + (LaTeX[f]) + "\leqslant" + (LaTeX[mnuma]) + ""
tcas6a: "" + (LaTeX[f]) + "<" + (LaTeX[numb]) + "\text{   et   }" + (LaTeX[f]) + "\geqslant" + (LaTeX[numa]) + ""
tcas6b: "-" + (LaTeX[f]) + "\leqslant" + (LaTeX[mnuma]) + "\text{   et }-" + (LaTeX[f]) + ">" + (LaTeX[mnumb]) + ""
tcas7a: "" + (LaTeX[f]) + ">" + (LaTeX[numa]) + "\text{   et   }" + (LaTeX[f]) + "\leqslant" + (LaTeX[numb]) + ""
tcas7b: "-" + (LaTeX[f]) + "\geqslant" + (LaTeX[mnumb]) + "\text{   et }-" + (LaTeX[f]) + "<" + (LaTeX[mnuma]) + ""
tcas8a: "" + (LaTeX[f]) + "<" + (LaTeX[numb]) + "\text{   et   }" + (LaTeX[f]) + ">" + (LaTeX[numa]) + ""
tcas8b: "-" + (LaTeX[f]) + "<" + (LaTeX[mnuma]) + "\text{   et  }" + (LaTeX[f]) + "<" + (LaTeX[numb]) + ""
tcas9a: "" + (LaTeX[f]) + "<" + (LaTeX[numa]) + "\text{   ou } -" + (LaTeX[f]) + "<" + (LaTeX[mnumb]) + ""
tcas9b: "" + (LaTeX[f]) + ">" + (LaTeX[numb]) + " \text{   ou }-" + (LaTeX[f]) + ">" + (LaTeX[mnuma]) + ""
tcas10a: "" + (LaTeX[f]) + "\leqslant" + (LaTeX[numa]) + "\text{   ou   }" + (LaTeX[f]) + ">" + (LaTeX[numb]) + ""
tcas10b: "-" + (LaTeX[f]) + "\geqslant" + (LaTeX[mnuma]) + "\text{    ou   }" + (LaTeX[f]) + ">" + (LaTeX[numb]) + ""
tcas12a: "" + (LaTeX[f]) + "\geqslant" + (LaTeX[numb]) + "\text{    ou }-" + (LaTeX[f]) + "\geqslant" + (LaTeX[mnuma]) + ""
tcas12b: "-" + (LaTeX[f]) + "\geqslant" + (LaTeX[mnuma]) + "\text{    ou }-" + (LaTeX[f]) + "\leqslant" + (LaTeX[mnumb]) + ""
k = 2
repcas = 6
justecas: cas ≟ repcas
justea: a ≟ repa
justeb: b ≟ repb ∨ (cas  <  5)
juste: justecas ∧ justea ∧ justeb
tcas2a: "" + (LaTeX[f]) + "<" + (LaTeX[numa]) + "\text{    et   }" + (LaTeX[f]) + "\leqslant" + (LaTeX[numb]) + ""
test = false
texte15: "\text{La proposition  “ }" + (LaTeX[inequation]) + "\text{ ”    équivaut à   :  }x\,\in\;" + (LaTeX[reponse]) + ""
score = 0
gain = 0
numexo = 1
texte18: "Score : " + score + " / " + numexo + ""
debut = false
trepa = SurdText(repa)
trepb = SurdText(repb)
texte13: "\left]-\infty\,;\, " + (LaTeX[vua]) + "\right[\;\cup\;\left[" + (LaTeX[vub]) + " \,;\,+\infty\right["
tcas11a: "" + (LaTeX[f]) + "\geqslant" + (LaTeX[numb]) + "\text{    ou }-" + (LaTeX[f]) + ">" + (LaTeX[mnuma]) + ""
tcas11b: "-" + (LaTeX[f]) + ">" + (LaTeX[mnuma]) + "\text{    ou }-" + (LaTeX[f]) + "\leqslant" + (LaTeX[mnumb]) + ""
texte20: "\text{Réponse :}\\
\text{La proposition  “ } " + (LaTeX[inequation]) + "\text{ ”    équivaut à   :  }x\,\in\;" + (LaTeX[bonnereponse]) + ""
voirreponse = false
texte21: "\text{\`A quoi équivaut la proposition “ }" + (LaTeX[inequation]) + "\text{ ” ?}"
notemax: 5
texte24: "\text{Ceci est le dernier de cette série de }" + (LaTeX[notemax]) + "\text{ exercices.}"
tcas2b: "-" + (LaTeX[f]) + ">" + (LaTeX[mnumb]) + "\text{   et  }-" + (LaTeX[f]) + ">" + (LaTeX[mnuma]) + ""
grade: score