Algèbre : Équations, Inéquations et Fonctions — Niveau IPEIT

Question 1 sur 5 10:00

[{"id":1545,"question":"Quelle est la solution de l'équation 3x - 7 = 2x + 5 ?","option_a":"x = 12","option_b":"x = 2","option_c":"x = -2","option_d":"x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"Pour résoudre 3x - 7 = 2x + 5, on soustrait 2x des deux côtés : x - 7 = 5, puis on ajoute 7 : x = 12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1546,"question":"Quel est le domaine de définition de la fonction f(x) = 1\/(x² - 4) ?","option_a":"x ≠ 2 et x ≠ -2","option_b":"x ≠ 4","option_c":"x ∈ ℝ","option_d":"x \u003E 0","option_e":"","option_f":"","bonne_reponse":"A","explication":"La fonction est définie lorsque le dénominateur x² - 4 ≠ 0, soit x ≠ 2 et x ≠ -2.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1547,"question":"Quelle est la solution de l'inéquation 2x + 3 ≤ 5x - 6 ?","option_a":"x ≥ 3","option_b":"x ≤ 3","option_c":"x \u003E 3","option_d":"x \u003C 3","option_e":"","option_f":"","bonne_reponse":"A","explication":"En soustrayant 2x et en ajoutant 6, on obtient 9 ≤ 3x, soit x ≥ 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1548,"question":"Quelle est la parité de la fonction f(x) = x³ - x ?","option_a":"Impaire","option_b":"Paire","option_c":"Ni paire ni impaire","option_d":"Constante","option_e":"","option_f":"","bonne_reponse":"A","explication":"f(-x) = (-x)³ - (-x) = -x³ + x = -(x³ - x) = -f(x), donc la fonction est impaire.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0},{"id":1549,"question":"Quelle est la solution de l'équation x² - 5x + 6 = 0 ?","option_a":"x = 2 et x = 3","option_b":"x = -2 et x = -3","option_c":"x = 1 et x = 6","option_d":"x = 0 et x = 5","option_e":"","option_f":"","bonne_reponse":"A","explication":"En factorisant, (x - 2)(x - 3) = 0, donc x = 2 ou x = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0}]