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求2题解题过程和答案,谢谢!
1个回答
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(2)
A={x||x-a|<2 } = { x| a-2<x<a+2}
B={ x| (2x-1)/(x+2) ≤1 } = { x| (x-3)/(x+2) ≤0 } ={ x| -2<x≤3 }
AUB=B
=> A is subset of B
=>-2≤a-2 and 3≥a+2
=>a≥0 and a≤1
=>0≤a≤1
A={x||x-a|<2 } = { x| a-2<x<a+2}
B={ x| (2x-1)/(x+2) ≤1 } = { x| (x-3)/(x+2) ≤0 } ={ x| -2<x≤3 }
AUB=B
=> A is subset of B
=>-2≤a-2 and 3≥a+2
=>a≥0 and a≤1
=>0≤a≤1
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