This worksheet focuses on solving linear inequalities in one variable for CBSE Grade 11 Maths. - Key Concepts: Understanding inequalities like $ax + b > 0$, $ax + b < 0$, solution sets. - Rules: Adding, subtracting, multiplying, dividing inequalities (considering sign changes). - Solution Representation: Interval notation, number line representation. - Examples: Solving $2x + 3 > 5$, understanding constraints. - Applications: Problems involving real-life constraints. Helps grasp inequality solving techniques crucial for CBSE exams and further mathematical studies like calculus, optimization. Aligns with CBSE curriculum for effective learning.

1. GA4 (Lineor Tnegwatima
(Tm One Noviable) (RSA)
)Write doun the. ssuthn set of
the inequatian zlbgnrhen thu
nebdacement set. in(i)N, (i)w.
2)salve 5x<a4 nthen ()xéN,
2Sstve 8+1x45+ 3x shen
zéN, ()xeR
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tt
4Sstve Zt4o and daw the qrabh
ot the Asutn sot.
4)Sdse
s)Soe Z2 l0 and drau the qrath
t4
T522.
3 and repreaLnt tthe

2. 8) Sote 4-x) <2.
Adutian set on the mumbut ine
9Solve 3x-a<xER
DSotve |3-4zxeR
2 Sotve
14)Satve
Ix-325, zeR
|a-a-2
oate
|2t3l t
(t2)
Page
) Sae the neauatiann -33-29,
xER Rabreoent the satution set
n the ealine
17) Satve the ineqnatiano 2x-322+2

3. 3xt5.,x tR AxDs the qaph ot
the sotution set
I8) Setye the aytenof iauauation
Page
3
Kabeant the soutim At on the
number ine
1a) Sate the sustam of ineauotiana
-58-3x 9.
4
6
20)Sotve the syaterm of inauationa
2) Sotve the systim ot ineauatiana:
|a-45,z2
22) Gind all airs of conaLeuhve odd
hositive inteqenn bath of hich are
Annalle than A0 AAch that thix
swni maYe than 14

4. Date
23). ind all fai ot conaLcutiye ewen
positixe integern both ot hich ate
layer than 3such that thir Aum
us deen than a3.
24) The Aonentde ofa trianle in
3 time theshortentide and the
thid ideesmhTtu than
the Aogeat aide. TA the enimetue
ot the tiangle io at leaat 6iem,
Aind he mnum lenqtth of the
tthe
shatot side.
25)The cost and gUene funetimo of
frsoduet axe qisen by cl) 20x
+ 4000 and R(= 60xt 200D
o
ofitem odueed andstd. Hauw
many teme muat be sstd
naalse somebofit
to
2)A nan nands to et thre dength
bingde þuce ot cloth ot

5. Date
Page
Lunatth 94 cm he second dungth
i tobe 3em longr than the
shoteat andhe thid nqth
to be tuiee as dang as the
shorteat. hhat are the þossible
ungtho ot the sharteatbieee ot
oloth the thid iece i to be
Lat deaot 5em Aongere than the
Acsnd.
23)Tn dilling rodd's debeot hste
t wan tound that the temputote
Tin deqree Celau, kmbelau
the earth's wLkace wan qiueno
T):30t 25(z-3),3zl5. At
hat debth ill thetemberature
e tuen 55Cand a05°C1
28) A makactuer has 4bo itren ot
a9°lo aid souhm tau) many itee
ot a 23°o acidAoutn munte
added to itAO that theacid
ontent in th eulhng mixtue

6. Ja moe than 5o but eA than °2
ct322
AA stuion Á tobe tebt between
40'C and 45°c, hatin the Nange
ot temhercatwe n deqree Fahenhit
30) The To ot a peNN
Date
hPage
mintal age
the mental aae ond e o
the ehnonological ageTA 80 Tg
A2-4ea
childan ind the xange ot the
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