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Solution of inequality |x+3|>|2x-1| is??

Solution of inequality |x+3|>|2x-1| is??

Grade:11

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago
Mod (x+3) > mod (2x-1)
squaring both sides, we get
(x+3)^2>(2x-1)^2
=> (x+3)^2-(2x-1)^2>0
=>(x+3-2x+1)(x+3+2x-1)>0
=>(-x+4)(3x+2) >0
=>(x-4)(3x+2) < 0
=> -2/3 < x < 4 Ans
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

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