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若集合 A = { x | - 1 ≤ 2 x + 1 ≤ 3 } , B = { x | x - 2 x ≤ 0 } ,则 A ∩ B = ( )
{ x | - 1 ≤ x < 0 }
{ x | 0 < x ≤ 1 }
{ x | 0 ≤ x ≤ 2 }
{ x | 0 ≤ x ≤ 1 }
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