solve the inequalitiy 6x-5/4x+1<0
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6x - 5 / ( 4x + 1) < 0
=> 6x - 5 / ( 4x + 1) * ( 4x + 1) < ( 4x + 1)
=> 6x - 5 < ( 4x + 1)
=> 6x - 5 - 4x < 4x + 1 - 4x
=> 2x - 5 < 1
=> 2x - 5 + 5 < 1 + 5
=> 2x < 6
=> 2x / 2 < 6 / 2
=> x < 3
Solution set = ( - infinity, 3).
=> 6x - 5 / ( 4x + 1) * ( 4x + 1) < ( 4x + 1)
=> 6x - 5 < ( 4x + 1)
=> 6x - 5 - 4x < 4x + 1 - 4x
=> 2x - 5 < 1
=> 2x - 5 + 5 < 1 + 5
=> 2x < 6
=> 2x / 2 < 6 / 2
=> x < 3
Solution set = ( - infinity, 3).
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