I Tavi

I
Tavi
46
7 simravleTa
toloba .
qvesimravle
1. dawereT: a) 18-is jeradi yvela orniSna ricxvis simravle;
b) simravle yvela im orniSna ricxvisa, romelic iyofa 2-zec
da 9-zec.
2. dawereT: a) saqarTvelos mefe-qalTa simravle;
b) qarTvel mefeTa simravle, romelTa mefobis peri odsac
`oqros xanas~ uwodeben.
daakvirdiT TiToeul amocanaSi miRebul simravleebs da upasuxeT:
ra aqvT maT saerTo da riT gansxvavdebian isini erTmaneTisgan.
vityviT, rom A da B simravleebi tolia da CavwerT A=B,
Tu es simravleebi Sedgeba erTi da imave elementebisagan.
ganmartebidan cxadia, rom, Tu A=B, maSin A simravlis yoveli
elementi aris B simravlis elementic da B simravlis yoveli
elementi A simravlis elementicaa. magaliTad, ganvixiloT ori
A={1;5;7} da B={5;7;1} simravle. es simravleebi Sedgeba erTi da
imave elementebisagan, e.i. A=B.
Tu A da B simravleebi araa toli, weren – A ≠ B.
Tu M={0; 5; 1; 2} da F={0; 5; 1}, am SemTxvevaSi, vxedavT, 2∈M, magram
2∉F e. i. M∉F.
1) dawereT qarTvel kosmonavtTa simravle.
2) dawereT 5x–7=9 gantolebis naturalur amonaxsenTa simravle.
radgan arc qarTveli kosmonavti gvyavs jerjerobiT da 5x–7=9
gantolebis amonaxsenic – x = 3,2 araa naturaluri ricxvi, orive
SemTxvevaSi miviReT simravle, romelsac ar gaaCnia arc erTi
elementi.
simravles, romelic arc erT elements ar Seicavs, carieli
simravle ewodeba. mas ∅ simboloTi aRniSnaven.
ganvixiloT ori, A da B simravle, A={2;5} da B={2;5;7}. rogorc
vxedavT, 2∈A da 2∈B, 5∈A da 5∈B, e. i. A simravlis yoveli elementi
B simravlis elementia.
Tu A simravlis yoveli elementi B simravlis elementicaa,
maSin A simravles B simravlis qvesimravles uwodeben da
weren: A ⊂ B, Tu A simravle ar aris B simravlis qvesimravle,
weren – A ⊄ B.