8/4/2019 Wikimama Class 11 Ch 6 Linear Inequalities
1/2
1
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
2/2
8
dx "iii) gk}ty*