解關(guān)于
x的不等式
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>1 (
a≠1).
當(dāng)
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>1時(shí)解集為(-∞,
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)∪(2,+∞);當(dāng)0<
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<1時(shí),解集為(2,
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);當(dāng)
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=0時(shí),解集為
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;當(dāng)
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<0時(shí),解集為(
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,2)
原不等式可化為 :
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>0,
①當(dāng)
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>1時(shí),原不等式與(
x-
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)(
x-2)>0同解.
由于

∴原不等式的解為(-∞,

)∪(2,+∞).
②當(dāng)

<1時(shí),原不等式與(
x-

)(
x-2) <0同解.
由于
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,
若
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<0,
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,解集為(
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,2);
若

=0時(shí),

,解集為
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;
若0<
a<1,
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,解集為(2,

)
綜上所述: 當(dāng)

>1時(shí)解集為(-∞,

)∪(2,+∞);當(dāng)0<

<1時(shí),解集為(2,

);當(dāng)

=0時(shí),解集為

;當(dāng)

<0時(shí),解集為(

,2)
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