The sum of all such integers x thatsatisfy inequality 2≤丨2x-1丨≤6 is( )

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The sum of all such integers x thatsatisfy inequality 2≤丨2x-1丨≤6 is( )
The sum of all such integers x thatsatisfy inequality 2≤丨2x-1丨≤6 is( )

The sum of all such integers x thatsatisfy inequality 2≤丨2x-1丨≤6 is( )
2≤丨2x-1丨≤6
等价于:
2≤丨2x-1丨且丨2x-1丨≤6
(2x-1≤-2或2x-1≥2 ) 且 -6≤2x-1≤6
(x≤-1/2或x≥3/2 )且 -5/2≤x≤7/2
-5/2≤x≤-1/2或3/2x≤7/2
由于x是整数,所以
{ x |-2,-1,2,3 }
所有元素的和为:-2-1+2+3=2
The sum of all such integers x thatsatisfy inequality 2≤丨2x-1丨≤6 is ( 2 )

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