Inequalities

Naombeni kujua matumizi ya at least, at most, not more than, more than kwenye somo la mathematics ususani mada linear programming

At least means less than or equal to,atmost greater than...kwenye linear at least ,not less than utumie Kama minimum cost,lakin atmost more than itumie Kama maxmum profit.

Peribus said:

At least means less than or equal to,atmost greater than...kwenye linear at least ,not less than utumie Kama minimum cost,lakin atmost more than itumie Kama maxmum profit.

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#asante sana rafiki nimekuelewa, na vipi kuhusu not more than???

Peribus said:

At least means less than or equal to,atmost greater than...kwenye linear at least ,not less than utumie Kama minimum cost,lakin atmost more than itumie Kama maxmum profit.

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At least inakuwaje tena less than mkuu?

John7371 said:

At least inakuwaje tena less than mkuu?

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Hapo sasa!

#tusaidiane jamani mimi ninamtihani wa mock kesho Sasa nisije kuanguka

Vipi hapo jamani iyo check list ina makosa wapi?

Peribus said:

At least means less than or equal to,atmost greater than...kwenye linear at least ,not less than utumie Kama minimum cost,lakin atmost more than itumie Kama maxmum profit.

Click to expand...

Hahaha daah umeamua kumpeleka mwenzio chaka sio. Haya bwana.

Ila ulichokiandika ni kinyume chake mkuu.

At least ni greater than or equal to

At most ni less than or equal to.

brave Mwafrika said:

View attachment 2293579
Vipi hapo jamani iyo check list ina makosa wapi?

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Mkuu kuyaelewa haya maswali vizuri,Kuna aina mbili;
1.Minimization of cost, 2.Maximization of profit.
Na ili kulifanya hili swali inatakiwa ufahamu vipengele hivi;
(i)Variables(Huwa tunatumia x na y) , (ii) Constraints or Inequalities, (iii) Objective function, (iv) Graph.
Nakumbuka mwalimu wetu alitufundisha mbinu kadhaa kama muda unaelekea kuisha na hujafanya hili swali.Ni kwamba; ukiona swali linataka "minimization of cost" basi Inequalities zake mara nyingi inakuwa greater than or equal to ">=".Na graph yake unashade juu.Kama ni "maximization of profit" basi inakuwa ni less than or equal to "<=" na graph yake utashade chini.Hiyo ni kama muda umekuishia tu.Mwisho fanya mazoezi.
Kwa kumalizia , "at least" inequality yake ni greater or equal to,"at most" ni less than or equal to,"not more than" ni sawa na "at most".
Hii link itakusaidia kuelewa maximization of profit: 3.1: Maximization Applications.
Na hii itakusaidia upande wa minimization of cost: 3.2: Minimization Applications
Kila la kheri.

Tizama hapa
at least 2---inamaanisha isipungue 2 yaani unatakiwa utoe matokeo ambayo namba ndogo kabisa ni 2 mfano 2, 3, 4, 5, 6, 7...........
at most 2---inamaanisha isizidi 2 yaani unatakiwa utoe matokeo ambayo namba kubwa kabisa ni 2 mfano :2, 1, 0 , -1, -2, -3...........
not more than 5--- inamaanisha isizidi 5 yaani unatakiwa uorodheshe matokeo yote pungufu ya 5 pasipo kuijumuisha 5 yenyewe mfano : 4, 3, 2, 0, -3........
More than 5---inamaanisha matokeo zaidi ya 5 pasipo kuijumuisha 5 yenyewe . mfano 6, 7, 8, 9

Natumae mleta mada umepata miongozo...