Tawm sib npaug nrog ib tug thiab ob tug tsiaj ntawv, linear inequalities

Qhov no raug tej me nyuam kawm ntawv pib kawm paub ntau ntxiv nyob rau hauv thawj lub tsev kawm ntawv, thaum lub cim "ntau" kis, "tsawg tshaj" thiab "sib npaug zos". Qhov no hom ntawm cov equations thiab inequalities yog ib tug ntawm cov uas yooj yim nyob rau hauv tag nrho cov ntaub ntawv kawm rau tag nrho lub sij hawm ntawm txoj kev kawm menyuam kawm ntawv. Cov tshuaj yog kiag li tej kab zauv thiab inequality boils down mus rau hauv kev txiav txim mus piv rau nws mus rau ib tug linear hom. Yuav ua li cas yuav saib linear equations thiab inequalities?

Nyob rau hauv no kab zauv, cov tsis paub hais tias yog nyob rau hauv thawj degree, uas tso cai rau koj los cias thiab sai sai cais lub zog tsis tu ncua, muab lawv nyob rau ob tog hauv nkauj nraug phaj (koob pheej ntawm lawv los yog tsis sib xws). Yuav ua li cas nws yuav saib txoj kev uas yuav pab tau sai thiab yooj yim kom daws tau tej linear kab zauv?

Xav hais tias muaj kab zauv 3 - 89 = (5x - 32) / 2. Tus thawj tshaj plaws ua - yog mus piv rau lub fractional ib feem los ntawm txawj los ntawm 2 lub tag nrho equation. Ces tus tshwm sim yuav tsum tau hais tias tus 6x - 178 = 5x - 32. Nyob rau hauv qhov tseeb nws yog - yog ib tug linear kab zauv. Tam sim no peb yuav tsum tau mus piv rau nws, tsiv tag nrho lub zog nyob rau sab laug, thiab tas mus li - mus rau sab xis. Cov tshwm sim yuav tsum hais tias x = 146. Yog hais tias lub d yog ntau tshaj ib tug nce mus nce los, koj yuav tsum tau phua nws tag nrho cov linear kab zauv, thiab nyob rau hauv cov ntaub ntawv no, kom tau tus tsim nyog cov lus teb.

Cov tib mus rau lub tsis sib npaug. Ua ntej, koj yuav tau mus piv rau linear inequality, thiab tom qab - mus txav lub zog nyob rau hauv nws sab laug, thiab tas mus li - mus rau sab xis. Tom qab ntawd, linear inequality yooj yim zog dua rau nce mus nce los piv sib npaug zos rau kev sib sau. Lo lus teb rau inequality yog tau txais, ces nws tsuas yog tsim nyog los sau nyob rau hauv txoj cai daim ntawv (nyob rau hauv daim ntawv ntawm cov inequality, luv los yog kis rau lub axis).

Raws li yuav tsum to taub los ntawm cov saum toj no, linear equations thiab inequalities yog yooj yim heev, txawm rau elementary tsev kawm ntawv cov me nyuam. Txawm li cas los, nws yuav tsum tau nco ntsoov hais tias hais tias qhov no hom ntawm sib npaug muaj kev xaiv.

Muaj yog ib tug view ntawm lawv raws li linear equations uas muaj ob ntau yam. Yuav ua li cas los daws kom tau lawv? Qhov no yog ib tug ncaj lub sij hawm-siv txheej txheem. Thaum lub tsev kawm ntawv, xws li cov neeg mob yuav pib rau lub ntsej muag nyob rau hauv high school, yog li ntawd, linear equations uas muaj variables ob yuav tsum tau ntaus nqi rau ntau tshaj cov ntsiab lus.

Piv txwv tias yog ib qho kev 2 x + y = 3x + 17. Thawj tshaj plaws ua - yog qhia ib tug tsis paub hais tias muaj nuj nqis los ntawm lwm tus. Nws yog yooj yim txaus: ib nce mus nce los yog rho tawm mus rau sab laug sab, nrog tag nrho lwm yam tsiaj thiab ua zauv - mus rau sab xis; yog li solved tag nrho cov linear equations uas muaj ob ntau yam. Raws li ib tug tshwm sim, uas koj tau txais ib qho kev ua ntawm hom y = x + 17. Cov lus teb yog qhia los ntawm plotting no muaj nuj nqi nyob rau hauv ib tug tswj system thiab ib tug ncaj kab. Ntawm no thiab daws tau linear equations uas muaj ob ntau yam.

Nws yuav tsum tau muab sau tseg tias nyob rau hauv Ntxiv nrog rau qhov sib npaug nyob rau hauv ob tsiaj ntawv, muaj ntau zoo xws li cov tu ncua. Nyob rau hauv sib piv rau qhov sib npaug, cov lus teb uas yog lub teeb ntawm cov nuj nqi, tsis sib xws xaus nws lo lus teb mus rau lub dav hlau txhais los ntawm kev teem caij no. Nws yog tsim nyog sau cia hais tias yog hais tias tus nruj inequality, lub teeb tsis nkag!

Yog li ntawd, tam sim no koj xav txog tej yam yuav ua li cas los daws kom tau linear equations thiab inequalities. Txawm tias lub ntsiab lus no yog heev yooj yim mus kawm, nws yog them sai sai, vim hais tias ib co ntawm cov subtleties tej zaum yuav tsis tau ib yam nkaus paub tseeb hais tias nyob rau hauv cov kev tswj kev kuaj tej zaum yuav ua rau tus siab phem kab thiab txo tag nrho cov qhab nia. Tawm kab zauv - nws yog yooj yim, cov tseem ceeb tshaj plaws - mus ua raws li qhov yuav tsum tau xyuam xim kev cai, xws li division los yog sib npaug ntawm tag nrho cov kab zauv rau tej nqi, cov kev hloov muaj nuj nqi hais txog lub sib npaug zos kos npe rau, qhov zoo charting, competent teb cov ntaub ntawv.

Paub ua li cas kom sau thiab daws tau linear equations thiab inequalities, koj yuav tau to taub thiab ntau hom kev sib npaug thiab tsis sib npaug. Uas yog vim li cas qhov teeb meem no yog suav tias yog ib qho tseem ceeb txaus - yuav luag lub hauv paus ntawm kev kawm txog zauv, vim hais tias tej ntsiab cai rau kev daws tej piv txwv yog lub hauv paus ntawm qhov kev txiav txim tsov ntxhuav feem ntawm lwm yam sib npaug, tsis sib npaug thiab teeb meem.