cengage illustration 1.52

please help
22 Replies
iTeachChem Helper
@Apu
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Deleted User
Deleted UserOP8mo ago
solve |x-3| + |x-2|= 1 this is the sum, ik x=3 and x=2, but how is x-3 <= 0 and x-2>= 0
RisingPhoenix
RisingPhoenix8mo ago
bro check interval of (2,3 (2,3)
Deleted User
Deleted UserOP8mo ago
[2,3] is the ans which i got and its right but idu how i got the ans
Real potato
Real potato8mo ago
modulus function hai to 2 cases to banne padege na jese | x-2| me jo x hai wo 2 se bada bhi ho skta hai or chota bhi
stormycloud
stormycloud8mo ago
So take 2.5 and sub in x-3 and x-2 to check
Deleted User
Deleted UserOP8mo ago
;-; im not hindi ey i know that too xd but i want to know why x-3<=0 and x-2>= 0 and i feel im lackin behind while everyone is able to do better than me + i think im getting all sums on fluke.
stormycloud
stormycloud8mo ago
Modulus fuction has 2 cases , like in |x-2| , x can be greater than 2 and less then @Deleted User [translation, did my best am not native Hindi either] Yah this true too, it depends on which case
Deleted User
Deleted UserOP8mo ago
x-2>=0 and x-2<=0.. right
Slembash
Slembash8mo ago
Idk the exact reason too but.. me myself check it by putting values, like anything greater than 3 will not give answer --> hence x<=3 , so x-3<=0 similarly anything smaller than 2 also won't give answer so x>=2 , so x-2>=0 This is my thought process, just putting values and checking btw in 11th grd, so it would be better if a senior helps out in thinking for a easier way (if thr is any)
Deleted User
Deleted UserOP8mo ago
same bro im in 11th too I feel im getting all problems by fluke and i wont be able to do as these problems pass on, is it a starter problem?
Slembash
Slembash8mo ago
yes i agree, major Q of mod and other functions, sometimes if lucky, easily chose the ans like jahan cases wagera banane padhte hain quite normal ig for such Q, getting ans is fine but asking others too is beneficial, u get to know shorter or other ways to think upon it
Deleted User
Deleted UserOP8mo ago
yea cengage says another way but im getting it using only trial and error
Slembash
Slembash8mo ago
sometimes trial n error is better, anyways JEE just wants ans a good part about the exam, it doesn't require the process
Deleted User
Deleted UserOP8mo ago
i believe jee advanced does, im want to get into IIT.
Slembash
Slembash8mo ago
same wanna get into IIT bom idk about jee adv
stormycloud
stormycloud8mo ago
Always do option checking imo Some annoying questions require sub and checking even tho u get the answer , there is some exceptions Same , I learnt abt mod lietrally tday
Deleted User
Deleted UserOP8mo ago
Oh nice all IITians damn, well i wish yall the best on your journey, hope whatever path yall choose bring you success. Thank you for helping me.
Comrade Rock Astley
Firstly, solve for (x-3) + (x-2)=1 and remember this is when x>=3, hence the solution must be in that interval Then, assume x<2, solve (3-x) + (2-x) =1 and so on (2 more cases) Combine all solutions
Deleted User
Deleted UserOP8mo ago
yoo i got it. |x-y| = |x|+|y| so xy<= 0 thanks btw, gotta close channel. +solved @stormycloud @Slembash @Real potato @RisingPhoenix @Comrade Rock Astley
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