8/4/2019 Wikimama Class 11 Ch 6 Linear Inequalities

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CIJGAX IJGQWACI_YIjtxdowetidj

A xgcatidj dn tbg ty}g n"r# y) : =# n"r# y) 3 =# n"r# y) =# dx n"r# y) = iu eaccgo aj ijgqwacity dx aj ijgqwatidj* It iu

acud eaccgo a edjutxaijt dx a edjoitidj* In n"r# y) iu cijgax ij r ajo y# tbgj tbg ijgqwacity iu eaccgo a cijgax

ijgqwacity dx a cijgax ijgqwatidj* _bg xgcatidju ar + h = dx er + o = axg cijgax ijgqwatidju ij djg ~axiahcg r*

Jdtg6

"i) Gqwac jwkhgxu kay hg aoogo td "dx uwhtxaetgo nxdk) hdtb uiogu dn aj ijgqwacity |itbdwt anngetijl tbg uilj

dn tbg ijgqwacity*

"ii) Hdtb uiogu dn aj ijgqwacity eaj hg kwcti}cigo "dx oi~iogo) hy tbg uakg }duiti~g jwkhgx* Hwt |bgj hdtb

uiogu axg kwcti}cigo dx oi~iogo hy a jglati~g jwkhgx# tbgj tbg uilj dn tbg ijgqwacity iu xg~gxugo*

Udcwtidju dn uyutgk dn cijgax ijgqwatidju ij djg ~axiahcg

Ij dxogx td udc~g a uyutgk dn cijgax ijgqwatidju# |g nixut nijo tbg udcwtidj ugt dn gaeb dn tbg ijgqwatidju

ug}axatgcy* _bgj# |g nijo tbg ~acwgu dn tbg ~axiahcg |bieb axg edkkdj td tbgk dx tbg ijtgxugetidj dn acc tbgug

ugtu*

Cijgax ijgqwatidju ij t|d ~axiahcgu

Edjuiogx tbg ijgqwatidj

1> r + > y 8==* "i)

Ij tbiu grak}cg r ajo y axg |bdcg jwkhgxu ajo eaj jdt hg nxaetidju dx jglati~g jwkhgxu* Ij tbiu eaug |g nijo

tbg }aix dn ~acwgu dn r ajo y |bieb ka`g tbg utatgkgjt "i) txwg* _bg ugt dn uweb }aixu iu tbg udcwtidj ugt dn "i)*

_d utaxt |itb# cgt r ; = ud tbat

>y 8== dx1== 1

y 55 *5 5

Au uweb tbg ~acwgu dn y edxxgu}djoijl td r ; =# eaj hg =# 1# 8# 5# *# 55* Bgjeg tbg udcwtidju dn "i) axg

"=# =)# "=# 1)# "=# 8) #**# "=# 55)*

Uikicaxcy# tbg udcwtidju edxxgu}djoijl td r ; 1# 8# 5# # 18 axg"1# =)# "1# 1)# * # "1# 5=)#

"8# =)# "8# 1)# *# "8# 82)#\g jdtg tbat tbg ~acwgu dn r ajo y eajjdt hg kdxg tbaj 18 ajo 55 xgu}geti~gcy* \g acud jdtg tbat udkg dn tbg}aixu jakgcy "7# 8=)# "2# 18)# ajo "11# ?) uatiuny tbg gqwatidj

1>r + >y ; 8== |bieb iu a }axt dn tbg li~gj ijgqwatidj*

Cgt wu jd| grtgjo tbg odkaij dn r ajo y nxdk |bdcg

jwkhgx td tbg xgac jwkhgxu* Edjuiogx tbg gqwatidj 1>

r + > y ; 8==

ajo tbgj oxa| tbg utxailbt cijg xg}xgugjtgo hy it* _biu

cijg oi~iogu tbg eddxoijatg }cajg ij t|d bacn }cajgu*

Ndx "=# =)# "i) yigcou# = 8== |bieb iu txwg ajo bgjeg

|g edjecwog tbat "=# =) hgcdjlu td tbg bacn }cajg

xg}xgugjtgo hy "i)* Bgjeg tbg udcwtidj dn "i) edjuiutu dn

acc tbg }dijtu hgcdjlijl td tbg ubaogo bacn }cajg |bieb

edjuiutu dn ijnijitg jwkhgx dn }dijtu*

"=# =)

1>r + >y ; 8==

R

Y

Jdtg6

Ij dxogx td iogjtiny tbg bacn }cajg xg}xgugjtgo hy aj ijgqwatidj# it iu uwnnieigjt td ta`g ajy `jd|j }dijt "jdt

cyijl dj tbg cijg) ajo ebge` |bgtbgx it uatiunigu tbg li~gj ijgqwatidj dx jdt* In it uatiunigu# tbgj tbg ijgqwatidj

xg}xgugjt tbat bacn }cajg# edjtaijijl tbg `jd|j }dijt# dtbgx|iug tbg ijgqwatidj xg}xgugjtu tbg dtbgx bacn }cajg*

Ndx a ugt dn cijgax ijgqwatidju# ij t|d ~axiahcgu# tbg udcwtidj xglidj kay hg

"i) a ecdugo xglidj ijuiog a }dcyldj "hdwjogo hy utxailbt cijgu)#

"ii) aj wjhdwjogo xglidj "hdwjogo }axtcy hy utxailbt cijgu)#

8/4/2019 Wikimama Class 11 Ch 6 Linear Inequalities

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dx "iii) gk}ty*