[{"data":1,"prerenderedAt":132},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Faritmetica\u002Fteoria-de-conjuntos?{}":3,"topics-with-content:aritmetica":108},{"course":4,"topic":12,"counts":16,"universities":21,"channels":34,"sampleQuestions":65,"sameName":107},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},1,"aritmetica","Aritmética","Aritm.","math","i-lucide-percent",0,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":5},102,"teoria-de-conjuntos","Teoría de conjuntos",{"topicId":13,"courseId":5,"questions":17,"classes":18,"videos":19,"minutes":20},11,134,107,3277,[22,30],{"universityId":23,"questions":24,"years":25},2,7,[26,27,28,29],2025,2024,2023,2022,{"universityId":5,"questions":31,"years":32},4,[33,26,28,29],2026,[35,38,41,44,47,49,51,53,56,59,61,63],{"name":36,"classes":37},"Alberto Cruz",36,{"name":39,"classes":40},"Academia ipluton",26,{"name":42,"classes":43},"Ciclo Uni-San Marcos",25,{"name":45,"classes":46},"Salón Sapiens",12,{"name":48,"classes":24},"Academia Grupo Ciencias",{"name":50,"classes":24},"Academia Internet",{"name":52,"classes":24},"CEPRE UNMSM",{"name":54,"classes":55},"META VILLARREAL",5,{"name":57,"classes":58},"Academias Aduni y César Vallejo",3,{"name":60,"classes":58},"Pamer Corporación Educativa",{"name":62,"classes":23},"Trilce Multimedia",{"name":64,"classes":5},"Saco Oliveros",[66,90],{"id":67,"courseId":5,"topicId":13,"pastExamId":68,"stem":69,"options":70,"correctKey":72,"explanation":86,"difficulty":58,"status":87,"source":88,"stats":89},5410,254,"El número de soles que Luis recibe como propina equivale al valor de $\\#(M\\cap R)+\\#P(R)+\\#(R\\,\\Delta\\,M)$. Se sabe que los conjuntos $M$ y $R$ quedan determinados por $M=\\left\\{\\dfrac{3x+7}{2}\\;\\middle\u002F\\;x\\in\\mathbb{Z},\\ 2\\leq x\u003C5\\right\\}$ y $R=\\left\\{\\dfrac{3x+7}{2}\\in\\mathbb{Z}\\;\\middle\u002F\\;1\u003Cx\\leq 4\\right\\}$; además, $P(R)$ representa el conjunto potencia de $R$. ¿Cuántos soles recibió Luis de propina?",[71,74,77,80,83],{"key":72,"text":73},"A","22",{"key":75,"text":76},"B","17",{"key":78,"text":79},"C","20",{"key":81,"text":82},"D","24",{"key":84,"text":85},"E","21","","published","UNMSM 2026-I · Medicina Humana",{"attempts":11,"accuracy":11},{"id":91,"courseId":5,"topicId":13,"pastExamId":92,"stem":93,"options":94,"correctKey":84,"explanation":86,"difficulty":58,"status":87,"source":105,"stats":106},1464,195,"Sean los conjuntos A y B diferentes del vacío, de manera que exista b∈B, tal que a \u003C b, ∀a∈A.\n\nDetermine el valor de verdad (V) o falsedad (F) de las siguientes proposiciones:\nI. ∀ b∈B, ∃a∈A tal que b \u003C a\nII. ∀a∈A, ∀b∈B, b \u003C a\nIII. B ⊆ A Marque la secuencia correcta.",[95,97,99,101,103],{"key":72,"text":96},"VVV",{"key":75,"text":98},"VFF",{"key":78,"text":100},"VVF",{"key":81,"text":102},"FFV",{"key":84,"text":104},"FFF","UNI 2025-2 · Matemática",{"attempts":11,"accuracy":11},[],[109,13,110,111,112,113,19,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131],101,103,104,105,106,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,1791501524234]