化简|4x-1|-|3x+6|

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化简|4x-1|-|3x+6|
化简|4x-1|-|3x+6|

化简|4x-1|-|3x+6|
(1)x

令4x- 1 = 0,得 x =1/4
令3x + 6 = 0, 得x = -2
当 x < -2 时,得
|4x-1|-|3x+6|
= -(4x-1)+(3x+6)
=7 - x
当 -2 =< x <= 1/4 时,得
|4x-1|-|3x+6|
= -(4x-1) -(3x+6)
= - 7x - 5
当 x > 1/4 时,得
|4x-1|-|3x+6|
= (4x-1) -(3x+6)
=x - 7

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