= Misalkan An = {x : x kelipatan n, n bil asli}, tentukan A4 n A6

By Admin ReiPosted on December 8, 2022

= Misalkan An = {x : x kelipatan n, n bil asli}, tentukan A4 n A6

$A_{12}$

$A_n=left{nx mid xinmathbb{N}right}$

$Rightarrow A_4=left{4x mid xinmathbb{N}right}=left{0,4,8,12,16,dotsright}$

$Rightarrow A_6=left{6x mid xinmathbb{N}right}=left{0,6,12,18,24,dotsright}$

$Rightarrow A_4cap A_6= left{4xmid xinmathbb{N}right}capleft{6xmid xinmathbb{N}right}$

$Rightarrow A_4cap A_6 = left{4x;wedge;6x mid xinmathbb{N}right}$

bilangan yang yang termasuk kelipatan 4 dan kelipatan 6 sekaligus

$Rightarrow A_4cap A_6 = left{text{KPK}(4,6)x mid xinmathbb{N}right}$

$Rightarrow A_4cap A_6 = left{12x mid xinmathbb{N}right}$

$Rightarrow A_4cap A_6 = A_{12}$

atau

$Rightarrow A_4=left{underline0,4,8,underline12,16,dotsright}$
$Rightarrow A_6=left{underline0,6,underline12,18,underline24,dotsright}$

$Rightarrow A_4cap A_6 = left{0,12,24,36,48,dotsright}$

$=A_{12}$

nb : simbol latex (kl ada yg mau tau)

kurung kurawal : left{ x right} → $left{ x right}$

garis vertikal : x mid x → $x mid x$

gabungan : cup → $cup$

irisan : cap → $cap$

anggota dari : in → $in$

bilangan asli : mathbb{N} → $mathbb{N}$

A12 : A_{12} → $A_{12}$

KPK : text{KPK}(a,b) → $text{KPK}(a,b)$