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solve |4x-11|<5. show all your work
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|4x-11| may be either (4x-11) or -(4x-11) so 4x-11<5 or -(4x-11)<5 4x<16 or -4x<-6 x<4 or 4x>6 x<4 or x>3/2 so combining these two 1.5<x<4
|x|<a , if a is constant ...then -a < x <a -> |4x-11|<5 -> -5< 4x-11 < 5 -> -5+11 < 4x-11+11 <5+11 adding 11 in each term -> 6 < 4x < 16 -> (3/2) < x < 4 ans
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